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Finding the Fourth Proportional to 67.68, 93.32 and 45.80

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Solution

The fourth proportional to 67.68, 93.32 and 45.80 is: 63.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.68 : 93.32 = 45.80 : x
  2. Step 2: Convert to fraction form
    67.68/93.32 = 45.80/x
  3. Step 3: Cross multiply
    67.68x = 93.32 × 45.80
  4. Step 4: Simplify right side
    67.68x = 4,274.06
  5. Step 5: Solve for x
    x = 4,274.06/67.68
  6. Step 6: Final answer
    x = 63.15

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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.