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Finding the Fourth Proportional to 70.60, 96.91 and 62.76

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Solution

The fourth proportional to 70.60, 96.91 and 62.76 is: 86.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.60 : 96.91 = 62.76 : x
  2. Step 2: Convert to fraction form
    70.60/96.91 = 62.76/x
  3. Step 3: Cross multiply
    70.60x = 96.91 × 62.76
  4. Step 4: Simplify right side
    70.60x = 6,082.07
  5. Step 5: Solve for x
    x = 6,082.07/70.60
  6. Step 6: Final answer
    x = 86.15

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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.