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Finding the Fourth Proportional to 97.85, 135.13 and 89.52

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Solution

The fourth proportional to 97.85, 135.13 and 89.52 is: 123.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.85 : 135.13 = 89.52 : x
  2. Step 2: Convert to fraction form
    97.85/135.13 = 89.52/x
  3. Step 3: Cross multiply
    97.85x = 135.13 × 89.52
  4. Step 4: Simplify right side
    97.85x = 12,095.71
  5. Step 5: Solve for x
    x = 12,095.71/97.85
  6. Step 6: Final answer
    x = 123.62

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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.