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Finding the Fourth Proportional to 70.61, 97.40 and 42.59

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Solution

The fourth proportional to 70.61, 97.40 and 42.59 is: 58.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.61 : 97.40 = 42.59 : x
  2. Step 2: Convert to fraction form
    70.61/97.40 = 42.59/x
  3. Step 3: Cross multiply
    70.61x = 97.40 × 42.59
  4. Step 4: Simplify right side
    70.61x = 4,147.57
  5. Step 5: Solve for x
    x = 4,147.57/70.61
  6. Step 6: Final answer
    x = 58.74

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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.