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Finding the Fourth Proportional to 152.32, 228.70 and 101.29

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Solution

The fourth proportional to 152.32, 228.70 and 101.29 is: 152.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.32 : 228.70 = 101.29 : x
  2. Step 2: Convert to fraction form
    152.32/228.70 = 101.29/x
  3. Step 3: Cross multiply
    152.32x = 228.70 × 101.29
  4. Step 4: Simplify right side
    152.32x = 23,165.02
  5. Step 5: Solve for x
    x = 23,165.02/152.32
  6. Step 6: Final answer
    x = 152.08

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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.