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Finding the Fourth Proportional to 98.40, 135.74 and 77.61

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Solution

The fourth proportional to 98.40, 135.74 and 77.61 is: 107.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.40 : 135.74 = 77.61 : x
  2. Step 2: Convert to fraction form
    98.40/135.74 = 77.61/x
  3. Step 3: Cross multiply
    98.40x = 135.74 × 77.61
  4. Step 4: Simplify right side
    98.40x = 10,534.39
  5. Step 5: Solve for x
    x = 10,534.39/98.40
  6. Step 6: Final answer
    x = 107.06

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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.