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Finding the Fourth Proportional to 100.65, 150.90 and 32.13

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Solution

The fourth proportional to 100.65, 150.90 and 32.13 is: 48.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.65 : 150.90 = 32.13 : x
  2. Step 2: Convert to fraction form
    100.65/150.90 = 32.13/x
  3. Step 3: Cross multiply
    100.65x = 150.90 × 32.13
  4. Step 4: Simplify right side
    100.65x = 4,849.14
  5. Step 5: Solve for x
    x = 4,849.14/100.65
  6. Step 6: Final answer
    x = 48.18

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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.