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Finding the Fourth Proportional to 32.74, 45.15 and 21.07

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Solution

The fourth proportional to 32.74, 45.15 and 21.07 is: 29.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.74 : 45.15 = 21.07 : x
  2. Step 2: Convert to fraction form
    32.74/45.15 = 21.07/x
  3. Step 3: Cross multiply
    32.74x = 45.15 × 21.07
  4. Step 4: Simplify right side
    32.74x = 951.31
  5. Step 5: Solve for x
    x = 951.31/32.74
  6. Step 6: Final answer
    x = 29.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.