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Finding the Fourth Proportional to 48.10, 66.33 and 32.53

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Solution

The fourth proportional to 48.10, 66.33 and 32.53 is: 44.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.10 : 66.33 = 32.53 : x
  2. Step 2: Convert to fraction form
    48.10/66.33 = 32.53/x
  3. Step 3: Cross multiply
    48.10x = 66.33 × 32.53
  4. Step 4: Simplify right side
    48.10x = 2,157.55
  5. Step 5: Solve for x
    x = 2,157.55/48.10
  6. Step 6: Final answer
    x = 44.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.