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Finding the Fourth Proportional to 98.17, 135.54 and 77.42

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Solution

The fourth proportional to 98.17, 135.54 and 77.42 is: 106.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.17 : 135.54 = 77.42 : x
  2. Step 2: Convert to fraction form
    98.17/135.54 = 77.42/x
  3. Step 3: Cross multiply
    98.17x = 135.54 × 77.42
  4. Step 4: Simplify right side
    98.17x = 10,493.51
  5. Step 5: Solve for x
    x = 10,493.51/98.17
  6. Step 6: Final answer
    x = 106.89

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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.