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Finding the Fourth Proportional to 115.76, 159.82 and 72.16

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Solution

The fourth proportional to 115.76, 159.82 and 72.16 is: 99.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.76 : 159.82 = 72.16 : x
  2. Step 2: Convert to fraction form
    115.76/159.82 = 72.16/x
  3. Step 3: Cross multiply
    115.76x = 159.82 × 72.16
  4. Step 4: Simplify right side
    115.76x = 11,532.03
  5. Step 5: Solve for x
    x = 11,532.03/115.76
  6. Step 6: Final answer
    x = 99.62

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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.