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Finding the Fourth Proportional to 98.52, 135.86 and 77.74

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Solution

The fourth proportional to 98.52, 135.86 and 77.74 is: 107.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.52 : 135.86 = 77.74 : x
  2. Step 2: Convert to fraction form
    98.52/135.86 = 77.74/x
  3. Step 3: Cross multiply
    98.52x = 135.86 × 77.74
  4. Step 4: Simplify right side
    98.52x = 10,561.76
  5. Step 5: Solve for x
    x = 10,561.76/98.52
  6. Step 6: Final answer
    x = 107.20

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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.