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Finding the Fourth Proportional to 48.32, 72.16 and 42.24

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Solution

The fourth proportional to 48.32, 72.16 and 42.24 is: 63.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.32 : 72.16 = 42.24 : x
  2. Step 2: Convert to fraction form
    48.32/72.16 = 42.24/x
  3. Step 3: Cross multiply
    48.32x = 72.16 × 42.24
  4. Step 4: Simplify right side
    48.32x = 3,047.83
  5. Step 5: Solve for x
    x = 3,047.83/48.32
  6. Step 6: Final answer
    x = 63.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.