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Finding the Fourth Proportional to 48.55, 72.72 and 32.23

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Solution

The fourth proportional to 48.55, 72.72 and 32.23 is: 48.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.55 : 72.72 = 32.23 : x
  2. Step 2: Convert to fraction form
    48.55/72.72 = 32.23/x
  3. Step 3: Cross multiply
    48.55x = 72.72 × 32.23
  4. Step 4: Simplify right side
    48.55x = 2,343.95
  5. Step 5: Solve for x
    x = 2,343.95/48.55
  6. Step 6: Final answer
    x = 48.28

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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.