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Finding the Fourth Proportional to 32.55, 45.12 and 31.99

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Solution

The fourth proportional to 32.55, 45.12 and 31.99 is: 44.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.55 : 45.12 = 31.99 : x
  2. Step 2: Convert to fraction form
    32.55/45.12 = 31.99/x
  3. Step 3: Cross multiply
    32.55x = 45.12 × 31.99
  4. Step 4: Simplify right side
    32.55x = 1,443.39
  5. Step 5: Solve for x
    x = 1,443.39/32.55
  6. Step 6: Final answer
    x = 44.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.