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Finding the Fourth Proportional to 32.15, 48.01 and 28.91

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Solution

The fourth proportional to 32.15, 48.01 and 28.91 is: 43.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.15 : 48.01 = 28.91 : x
  2. Step 2: Convert to fraction form
    32.15/48.01 = 28.91/x
  3. Step 3: Cross multiply
    32.15x = 48.01 × 28.91
  4. Step 4: Simplify right side
    32.15x = 1,387.66
  5. Step 5: Solve for x
    x = 1,387.66/32.15
  6. Step 6: Final answer
    x = 43.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.