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Finding the Fourth Proportional to 100.57, 150.83 and 39.69

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Solution

The fourth proportional to 100.57, 150.83 and 39.69 is: 59.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.57 : 150.83 = 39.69 : x
  2. Step 2: Convert to fraction form
    100.57/150.83 = 39.69/x
  3. Step 3: Cross multiply
    100.57x = 150.83 × 39.69
  4. Step 4: Simplify right side
    100.57x = 5,985.49
  5. Step 5: Solve for x
    x = 5,985.49/100.57
  6. Step 6: Final answer
    x = 59.52

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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.