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Finding the Fourth Proportional to 97.90, 135.12 and 61.10

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Solution

The fourth proportional to 97.90, 135.12 and 61.10 is: 84.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.90 : 135.12 = 61.10 : x
  2. Step 2: Convert to fraction form
    97.90/135.12 = 61.10/x
  3. Step 3: Cross multiply
    97.90x = 135.12 × 61.10
  4. Step 4: Simplify right side
    97.90x = 8,255.98
  5. Step 5: Solve for x
    x = 8,255.98/97.90
  6. Step 6: Final answer
    x = 84.33

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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.