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Finding the Fourth Proportional to 77.76, 116.16 and 71.04

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Solution

The fourth proportional to 77.76, 116.16 and 71.04 is: 106.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.76 : 116.16 = 71.04 : x
  2. Step 2: Convert to fraction form
    77.76/116.16 = 71.04/x
  3. Step 3: Cross multiply
    77.76x = 116.16 × 71.04
  4. Step 4: Simplify right side
    77.76x = 8,252.01
  5. Step 5: Solve for x
    x = 8,252.01/77.76
  6. Step 6: Final answer
    x = 106.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.