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Finding the Fourth Proportional to 70.53, 97.37 and 42.91

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Solution

The fourth proportional to 70.53, 97.37 and 42.91 is: 59.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.53 : 97.37 = 42.91 : x
  2. Step 2: Convert to fraction form
    70.53/97.37 = 42.91/x
  3. Step 3: Cross multiply
    70.53x = 97.37 × 42.91
  4. Step 4: Simplify right side
    70.53x = 4,177.66
  5. Step 5: Solve for x
    x = 4,177.66/70.53
  6. Step 6: Final answer
    x = 59.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.