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Finding the Fourth Proportional to 115.71, 159.69 and 72.07

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Solution

The fourth proportional to 115.71, 159.69 and 72.07 is: 99.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.71 : 159.69 = 72.07 : x
  2. Step 2: Convert to fraction form
    115.71/159.69 = 72.07/x
  3. Step 3: Cross multiply
    115.71x = 159.69 × 72.07
  4. Step 4: Simplify right side
    115.71x = 11,508.86
  5. Step 5: Solve for x
    x = 11,508.86/115.71
  6. Step 6: Final answer
    x = 99.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.