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Finding the Fourth Proportional to 100.65, 150.95 and 32.18

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Solution

The fourth proportional to 100.65, 150.95 and 32.18 is: 48.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.65 : 150.95 = 32.18 : x
  2. Step 2: Convert to fraction form
    100.65/150.95 = 32.18/x
  3. Step 3: Cross multiply
    100.65x = 150.95 × 32.18
  4. Step 4: Simplify right side
    100.65x = 4,856.82
  5. Step 5: Solve for x
    x = 4,856.82/100.65
  6. Step 6: Final answer
    x = 48.26

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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.