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Finding the Fourth Proportional to 148.02, 204 and 98.76

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Solution

The fourth proportional to 148.02, 204 and 98.76 is: 136.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.02 : 204 = 98.76 : x
  2. Step 2: Convert to fraction form
    148.02/204 = 98.76/x
  3. Step 3: Cross multiply
    148.02x = 204 × 98.76
  4. Step 4: Simplify right side
    148.02x = 20,147.04
  5. Step 5: Solve for x
    x = 20,147.04/148.02
  6. Step 6: Final answer
    x = 136.11

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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.