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Finding the Fourth Proportional to 102.01, 153.17 and 71.77

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Solution

The fourth proportional to 102.01, 153.17 and 71.77 is: 107.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.01 : 153.17 = 71.77 : x
  2. Step 2: Convert to fraction form
    102.01/153.17 = 71.77/x
  3. Step 3: Cross multiply
    102.01x = 153.17 × 71.77
  4. Step 4: Simplify right side
    102.01x = 10,993.01
  5. Step 5: Solve for x
    x = 10,993.01/102.01
  6. Step 6: Final answer
    x = 107.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.