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Finding the Fourth Proportional to 100.59, 150.81 and 39.71

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Solution

The fourth proportional to 100.59, 150.81 and 39.71 is: 59.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.59 : 150.81 = 39.71 : x
  2. Step 2: Convert to fraction form
    100.59/150.81 = 39.71/x
  3. Step 3: Cross multiply
    100.59x = 150.81 × 39.71
  4. Step 4: Simplify right side
    100.59x = 5,988.27
  5. Step 5: Solve for x
    x = 5,988.27/100.59
  6. Step 6: Final answer
    x = 59.53

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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.