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Finding the Fourth Proportional to 70.60, 105.40 and 57.52

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Solution

The fourth proportional to 70.60, 105.40 and 57.52 is: 85.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.60 : 105.40 = 57.52 : x
  2. Step 2: Convert to fraction form
    70.60/105.40 = 57.52/x
  3. Step 3: Cross multiply
    70.60x = 105.40 × 57.52
  4. Step 4: Simplify right side
    70.60x = 6,062.61
  5. Step 5: Solve for x
    x = 6,062.61/70.60
  6. Step 6: Final answer
    x = 85.87

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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.