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Finding the Fourth Proportional to 32.70, 45.12 and 31.02

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Solution

The fourth proportional to 32.70, 45.12 and 31.02 is: 42.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.70 : 45.12 = 31.02 : x
  2. Step 2: Convert to fraction form
    32.70/45.12 = 31.02/x
  3. Step 3: Cross multiply
    32.70x = 45.12 × 31.02
  4. Step 4: Simplify right side
    32.70x = 1,399.62
  5. Step 5: Solve for x
    x = 1,399.62/32.70
  6. Step 6: Final answer
    x = 42.80

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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.