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Finding the Fourth Proportional to 77.01, 116.12 and 65.13

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Solution

The fourth proportional to 77.01, 116.12 and 65.13 is: 98.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.01 : 116.12 = 65.13 : x
  2. Step 2: Convert to fraction form
    77.01/116.12 = 65.13/x
  3. Step 3: Cross multiply
    77.01x = 116.12 × 65.13
  4. Step 4: Simplify right side
    77.01x = 7,562.57
  5. Step 5: Solve for x
    x = 7,562.57/77.01
  6. Step 6: Final answer
    x = 98.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.