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Finding the Fourth Proportional to 104.88, 156.61 and 101.85

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Solution

The fourth proportional to 104.88, 156.61 and 101.85 is: 152.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.88 : 156.61 = 101.85 : x
  2. Step 2: Convert to fraction form
    104.88/156.61 = 101.85/x
  3. Step 3: Cross multiply
    104.88x = 156.61 × 101.85
  4. Step 4: Simplify right side
    104.88x = 15,950.73
  5. Step 5: Solve for x
    x = 15,950.73/104.88
  6. Step 6: Final answer
    x = 152.09

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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.