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Finding the Fourth Proportional to 56.24, 84.40 and 32.16

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Solution

The fourth proportional to 56.24, 84.40 and 32.16 is: 48.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.24 : 84.40 = 32.16 : x
  2. Step 2: Convert to fraction form
    56.24/84.40 = 32.16/x
  3. Step 3: Cross multiply
    56.24x = 84.40 × 32.16
  4. Step 4: Simplify right side
    56.24x = 2,714.30
  5. Step 5: Solve for x
    x = 2,714.30/56.24
  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.