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Finding the Fourth Proportional to 68.88, 102.90 and 49.46

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Solution

The fourth proportional to 68.88, 102.90 and 49.46 is: 73.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.88 : 102.90 = 49.46 : x
  2. Step 2: Convert to fraction form
    68.88/102.90 = 49.46/x
  3. Step 3: Cross multiply
    68.88x = 102.90 × 49.46
  4. Step 4: Simplify right side
    68.88x = 5,088.92
  5. Step 5: Solve for x
    x = 5,088.92/68.88
  6. Step 6: Final answer
    x = 73.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.