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Finding the Fourth Proportional to 152.04, 227.88 and 106.32

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Solution

The fourth proportional to 152.04, 227.88 and 106.32 is: 159.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.04 : 227.88 = 106.32 : x
  2. Step 2: Convert to fraction form
    152.04/227.88 = 106.32/x
  3. Step 3: Cross multiply
    152.04x = 227.88 × 106.32
  4. Step 4: Simplify right side
    152.04x = 24,228.20
  5. Step 5: Solve for x
    x = 24,228.20/152.04
  6. Step 6: Final answer
    x = 159.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.