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Finding the Fourth Proportional to 98.49, 146.76 and 87.72

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Solution

The fourth proportional to 98.49, 146.76 and 87.72 is: 130.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.49 : 146.76 = 87.72 : x
  2. Step 2: Convert to fraction form
    98.49/146.76 = 87.72/x
  3. Step 3: Cross multiply
    98.49x = 146.76 × 87.72
  4. Step 4: Simplify right side
    98.49x = 12,872.91
  5. Step 5: Solve for x
    x = 12,872.91/98.49
  6. Step 6: Final answer
    x = 130.70

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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.