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Finding the Fourth Proportional to 99.06, 147.49 and 98.76

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Solution

The fourth proportional to 99.06, 147.49 and 98.76 is: 147.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.06 : 147.49 = 98.76 : x
  2. Step 2: Convert to fraction form
    99.06/147.49 = 98.76/x
  3. Step 3: Cross multiply
    99.06x = 147.49 × 98.76
  4. Step 4: Simplify right side
    99.06x = 14,566.11
  5. Step 5: Solve for x
    x = 14,566.11/99.06
  6. Step 6: Final answer
    x = 147.04

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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.