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Finding the Fourth Proportional to 152.37, 228.38 and 106.47

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Solution

The fourth proportional to 152.37, 228.38 and 106.47 is: 159.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.37 : 228.38 = 106.47 : x
  2. Step 2: Convert to fraction form
    152.37/228.38 = 106.47/x
  3. Step 3: Cross multiply
    152.37x = 228.38 × 106.47
  4. Step 4: Simplify right side
    152.37x = 24,315.09
  5. Step 5: Solve for x
    x = 24,315.09/152.37
  6. Step 6: Final answer
    x = 159.58

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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.