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Finding the Fourth Proportional to 115.96, 160.02 and 72.28

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Solution

The fourth proportional to 115.96, 160.02 and 72.28 is: 99.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.96 : 160.02 = 72.28 : x
  2. Step 2: Convert to fraction form
    115.96/160.02 = 72.28/x
  3. Step 3: Cross multiply
    115.96x = 160.02 × 72.28
  4. Step 4: Simplify right side
    115.96x = 11,566.25
  5. Step 5: Solve for x
    x = 11,566.25/115.96
  6. Step 6: Final answer
    x = 99.74

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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.