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Finding the Fourth Proportional to 115.17, 158.85 and 71.53

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Solution

The fourth proportional to 115.17, 158.85 and 71.53 is: 98.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.17 : 158.85 = 71.53 : x
  2. Step 2: Convert to fraction form
    115.17/158.85 = 71.53/x
  3. Step 3: Cross multiply
    115.17x = 158.85 × 71.53
  4. Step 4: Simplify right side
    115.17x = 11,362.54
  5. Step 5: Solve for x
    x = 11,362.54/115.17
  6. Step 6: Final answer
    x = 98.66

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