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Finding the Fourth Proportional to 101.74, 153.25 and 95.95

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Solution

The fourth proportional to 101.74, 153.25 and 95.95 is: 144.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.74 : 153.25 = 95.95 : x
  2. Step 2: Convert to fraction form
    101.74/153.25 = 95.95/x
  3. Step 3: Cross multiply
    101.74x = 153.25 × 95.95
  4. Step 4: Simplify right side
    101.74x = 14,704.34
  5. Step 5: Solve for x
    x = 14,704.34/101.74
  6. Step 6: Final answer
    x = 144.53

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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.