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Finding the Fourth Proportional to 100.60, 150.81 and 39.77

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Solution

The fourth proportional to 100.60, 150.81 and 39.77 is: 59.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.60 : 150.81 = 39.77 : x
  2. Step 2: Convert to fraction form
    100.60/150.81 = 39.77/x
  3. Step 3: Cross multiply
    100.60x = 150.81 × 39.77
  4. Step 4: Simplify right side
    100.60x = 5,998.45
  5. Step 5: Solve for x
    x = 5,998.45/100.60
  6. Step 6: Final answer
    x = 59.63

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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.