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Finding the Fourth Proportional to 67.71, 93.47 and 49.08

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Solution

The fourth proportional to 67.71, 93.47 and 49.08 is: 67.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.71 : 93.47 = 49.08 : x
  2. Step 2: Convert to fraction form
    67.71/93.47 = 49.08/x
  3. Step 3: Cross multiply
    67.71x = 93.47 × 49.08
  4. Step 4: Simplify right side
    67.71x = 4,587.51
  5. Step 5: Solve for x
    x = 4,587.51/67.71
  6. Step 6: Final answer
    x = 67.75

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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.