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Finding the Fourth Proportional to 101.25, 151.77 and 40.35

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Solution

The fourth proportional to 101.25, 151.77 and 40.35 is: 60.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.25 : 151.77 = 40.35 : x
  2. Step 2: Convert to fraction form
    101.25/151.77 = 40.35/x
  3. Step 3: Cross multiply
    101.25x = 151.77 × 40.35
  4. Step 4: Simplify right side
    101.25x = 6,123.92
  5. Step 5: Solve for x
    x = 6,123.92/101.25
  6. Step 6: Final answer
    x = 60.48

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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.