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Finding the Fourth Proportional to 70.48, 96.87 and 62.24

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Solution

The fourth proportional to 70.48, 96.87 and 62.24 is: 85.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.48 : 96.87 = 62.24 : x
  2. Step 2: Convert to fraction form
    70.48/96.87 = 62.24/x
  3. Step 3: Cross multiply
    70.48x = 96.87 × 62.24
  4. Step 4: Simplify right side
    70.48x = 6,029.19
  5. Step 5: Solve for x
    x = 6,029.19/70.48
  6. Step 6: Final answer
    x = 85.54

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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.