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Finding the Fourth Proportional to 70.60, 96.92 and 65.14

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Solution

The fourth proportional to 70.60, 96.92 and 65.14 is: 89.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.60 : 96.92 = 65.14 : x
  2. Step 2: Convert to fraction form
    70.60/96.92 = 65.14/x
  3. Step 3: Cross multiply
    70.60x = 96.92 × 65.14
  4. Step 4: Simplify right side
    70.60x = 6,312.56
  5. Step 5: Solve for x
    x = 6,312.56/70.60
  6. Step 6: Final answer
    x = 89.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.