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Finding the Fourth Proportional to 78, 116.42 and 71.76

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Solution

The fourth proportional to 78, 116.42 and 71.76 is: 107.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78 : 116.42 = 71.76 : x
  2. Step 2: Convert to fraction form
    78/116.42 = 71.76/x
  3. Step 3: Cross multiply
    78x = 116.42 × 71.76
  4. Step 4: Simplify right side
    78x = 8,354.30
  5. Step 5: Solve for x
    x = 8,354.30/78
  6. Step 6: Final answer
    x = 107.11

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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.