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Finding the Fourth Proportional to 98, 135.24 and 63.50

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Solution

The fourth proportional to 98, 135.24 and 63.50 is: 87.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98 : 135.24 = 63.50 : x
  2. Step 2: Convert to fraction form
    98/135.24 = 63.50/x
  3. Step 3: Cross multiply
    98x = 135.24 × 63.50
  4. Step 4: Simplify right side
    98x = 8,587.74
  5. Step 5: Solve for x
    x = 8,587.74/98
  6. Step 6: Final answer
    x = 87.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.