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Finding the Fourth Proportional to 32.52, 45.11 and 31.72

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Solution

The fourth proportional to 32.52, 45.11 and 31.72 is: 44.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.52 : 45.11 = 31.72 : x
  2. Step 2: Convert to fraction form
    32.52/45.11 = 31.72/x
  3. Step 3: Cross multiply
    32.52x = 45.11 × 31.72
  4. Step 4: Simplify right side
    32.52x = 1,430.89
  5. Step 5: Solve for x
    x = 1,430.89/32.52
  6. Step 6: Final answer
    x = 44.00

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