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Finding the Fourth Proportional to 101.86, 153.25 and 61.31

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Solution

The fourth proportional to 101.86, 153.25 and 61.31 is: 92.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.86 : 153.25 = 61.31 : x
  2. Step 2: Convert to fraction form
    101.86/153.25 = 61.31/x
  3. Step 3: Cross multiply
    101.86x = 153.25 × 61.31
  4. Step 4: Simplify right side
    101.86x = 9,395.76
  5. Step 5: Solve for x
    x = 9,395.76/101.86
  6. Step 6: Final answer
    x = 92.24

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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.