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Finding the Fourth Proportional to 42.18, 63.32 and 32.16

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Solution

The fourth proportional to 42.18, 63.32 and 32.16 is: 48.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.18 : 63.32 = 32.16 : x
  2. Step 2: Convert to fraction form
    42.18/63.32 = 32.16/x
  3. Step 3: Cross multiply
    42.18x = 63.32 × 32.16
  4. Step 4: Simplify right side
    42.18x = 2,036.37
  5. Step 5: Solve for x
    x = 2,036.37/42.18
  6. Step 6: Final answer
    x = 48.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.