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Finding the Fourth Proportional to 101.76, 153.39 and 100.85

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Solution

The fourth proportional to 101.76, 153.39 and 100.85 is: 152.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.76 : 153.39 = 100.85 : x
  2. Step 2: Convert to fraction form
    101.76/153.39 = 100.85/x
  3. Step 3: Cross multiply
    101.76x = 153.39 × 100.85
  4. Step 4: Simplify right side
    101.76x = 15,468.99
  5. Step 5: Solve for x
    x = 15,468.99/101.76
  6. Step 6: Final answer
    x = 152.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.