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Finding the Fourth Proportional to 67.51, 93.13 and 39.86

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Solution

The fourth proportional to 67.51, 93.13 and 39.86 is: 55.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.51 : 93.13 = 39.86 : x
  2. Step 2: Convert to fraction form
    67.51/93.13 = 39.86/x
  3. Step 3: Cross multiply
    67.51x = 93.13 × 39.86
  4. Step 4: Simplify right side
    67.51x = 3,712.69
  5. Step 5: Solve for x
    x = 3,712.69/67.51
  6. Step 6: Final answer
    x = 55.00

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Why These Related Problems?

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