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Finding the Fourth Proportional to 32.40, 42.20 and 32.40

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Solution

The fourth proportional to 32.40, 42.20 and 32.40 is: 42.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.40 : 42.20 = 32.40 : x
  2. Step 2: Convert to fraction form
    32.40/42.20 = 32.40/x
  3. Step 3: Cross multiply
    32.40x = 42.20 × 32.40
  4. Step 4: Simplify right side
    32.40x = 1,367.28
  5. Step 5: Solve for x
    x = 1,367.28/32.40
  6. Step 6: Final answer
    x = 42.20

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.