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Finding the Fourth Proportional to 90.59, 125.10 and 84.78

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Solution

The fourth proportional to 90.59, 125.10 and 84.78 is: 117.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.59 : 125.10 = 84.78 : x
  2. Step 2: Convert to fraction form
    90.59/125.10 = 84.78/x
  3. Step 3: Cross multiply
    90.59x = 125.10 × 84.78
  4. Step 4: Simplify right side
    90.59x = 10,605.98
  5. Step 5: Solve for x
    x = 10,605.98/90.59
  6. Step 6: Final answer
    x = 117.08

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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.