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Finding the Fourth Proportional to 70.42, 97.15 and 41.31

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Solution

The fourth proportional to 70.42, 97.15 and 41.31 is: 56.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.42 : 97.15 = 41.31 : x
  2. Step 2: Convert to fraction form
    70.42/97.15 = 41.31/x
  3. Step 3: Cross multiply
    70.42x = 97.15 × 41.31
  4. Step 4: Simplify right side
    70.42x = 4,013.27
  5. Step 5: Solve for x
    x = 4,013.27/70.42
  6. Step 6: Final answer
    x = 56.99

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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.