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Finding the Fourth Proportional to 67.51, 93.12 and 46.85

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Solution

The fourth proportional to 67.51, 93.12 and 46.85 is: 64.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.51 : 93.12 = 46.85 : x
  2. Step 2: Convert to fraction form
    67.51/93.12 = 46.85/x
  3. Step 3: Cross multiply
    67.51x = 93.12 × 46.85
  4. Step 4: Simplify right side
    67.51x = 4,363.21
  5. Step 5: Solve for x
    x = 4,363.21/67.51
  6. Step 6: Final answer
    x = 64.63

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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.