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Finding the Fourth Proportional to 32.60, 45 and 31.31

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Solution

The fourth proportional to 32.60, 45 and 31.31 is: 43.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.60 : 45 = 31.31 : x
  2. Step 2: Convert to fraction form
    32.60/45 = 31.31/x
  3. Step 3: Cross multiply
    32.60x = 45 × 31.31
  4. Step 4: Simplify right side
    32.60x = 1,408.73
  5. Step 5: Solve for x
    x = 1,408.73/32.60
  6. Step 6: Final answer
    x = 43.22

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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.