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Finding the Fourth Proportional to 39.13, 54.07 and 33.93

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Solution

The fourth proportional to 39.13, 54.07 and 33.93 is: 46.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.13 : 54.07 = 33.93 : x
  2. Step 2: Convert to fraction form
    39.13/54.07 = 33.93/x
  3. Step 3: Cross multiply
    39.13x = 54.07 × 33.93
  4. Step 4: Simplify right side
    39.13x = 1,834.51
  5. Step 5: Solve for x
    x = 1,834.51/39.13
  6. Step 6: Final answer
    x = 46.89

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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.