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Finding the Fourth Proportional to 97.80, 135.14 and 85.50

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Solution

The fourth proportional to 97.80, 135.14 and 85.50 is: 118.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.80 : 135.14 = 85.50 : x
  2. Step 2: Convert to fraction form
    97.80/135.14 = 85.50/x
  3. Step 3: Cross multiply
    97.80x = 135.14 × 85.50
  4. Step 4: Simplify right side
    97.80x = 11,554.47
  5. Step 5: Solve for x
    x = 11,554.47/97.80
  6. Step 6: Final answer
    x = 118.14

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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.