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Finding the Fourth Proportional to 70.35, 97.05 and 42.71

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Solution

The fourth proportional to 70.35, 97.05 and 42.71 is: 58.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.35 : 97.05 = 42.71 : x
  2. Step 2: Convert to fraction form
    70.35/97.05 = 42.71/x
  3. Step 3: Cross multiply
    70.35x = 97.05 × 42.71
  4. Step 4: Simplify right side
    70.35x = 4,145.01
  5. Step 5: Solve for x
    x = 4,145.01/70.35
  6. Step 6: Final answer
    x = 58.92

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Why These Related Problems?

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