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Finding the Fourth Proportional to 77.19, 116.24 and 67.16

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Solution

The fourth proportional to 77.19, 116.24 and 67.16 is: 101.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.19 : 116.24 = 67.16 : x
  2. Step 2: Convert to fraction form
    77.19/116.24 = 67.16/x
  3. Step 3: Cross multiply
    77.19x = 116.24 × 67.16
  4. Step 4: Simplify right side
    77.19x = 7,807.10
  5. Step 5: Solve for x
    x = 7,807.10/77.19
  6. Step 6: Final answer
    x = 101.14

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Why These Related Problems?

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