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Finding the Fourth Proportional to 32.42, 44.78 and 24.32

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Solution

The fourth proportional to 32.42, 44.78 and 24.32 is: 33.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.42 : 44.78 = 24.32 : x
  2. Step 2: Convert to fraction form
    32.42/44.78 = 24.32/x
  3. Step 3: Cross multiply
    32.42x = 44.78 × 24.32
  4. Step 4: Simplify right side
    32.42x = 1,089.05
  5. Step 5: Solve for x
    x = 1,089.05/32.42
  6. Step 6: Final answer
    x = 33.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.