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Finding the Fourth Proportional to 32.42, 48.56 and 28.31

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Solution

The fourth proportional to 32.42, 48.56 and 28.31 is: 42.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.42 : 48.56 = 28.31 : x
  2. Step 2: Convert to fraction form
    32.42/48.56 = 28.31/x
  3. Step 3: Cross multiply
    32.42x = 48.56 × 28.31
  4. Step 4: Simplify right side
    32.42x = 1,374.71
  5. Step 5: Solve for x
    x = 1,374.71/32.42
  6. Step 6: Final answer
    x = 42.40

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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.