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Finding the Fourth Proportional to 32.88, 45.13 and 29.81

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Solution

The fourth proportional to 32.88, 45.13 and 29.81 is: 40.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.88 : 45.13 = 29.81 : x
  2. Step 2: Convert to fraction form
    32.88/45.13 = 29.81/x
  3. Step 3: Cross multiply
    32.88x = 45.13 × 29.81
  4. Step 4: Simplify right side
    32.88x = 1,345.03
  5. Step 5: Solve for x
    x = 1,345.03/32.88
  6. Step 6: Final answer
    x = 40.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.