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Finding the Fourth Proportional to 98.52, 147.06 and 87.84

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Solution

The fourth proportional to 98.52, 147.06 and 87.84 is: 131.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.52 : 147.06 = 87.84 : x
  2. Step 2: Convert to fraction form
    98.52/147.06 = 87.84/x
  3. Step 3: Cross multiply
    98.52x = 147.06 × 87.84
  4. Step 4: Simplify right side
    98.52x = 12,917.75
  5. Step 5: Solve for x
    x = 12,917.75/98.52
  6. Step 6: Final answer
    x = 131.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.