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Finding the Fourth Proportional to 98.78, 136.37 and 66.05

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Solution

The fourth proportional to 98.78, 136.37 and 66.05 is: 91.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.78 : 136.37 = 66.05 : x
  2. Step 2: Convert to fraction form
    98.78/136.37 = 66.05/x
  3. Step 3: Cross multiply
    98.78x = 136.37 × 66.05
  4. Step 4: Simplify right side
    98.78x = 9,006.23
  5. Step 5: Solve for x
    x = 9,006.23/98.78
  6. Step 6: Final answer
    x = 91.18

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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.