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Finding the Fourth Proportional to 79.98, 110.42 and 55.46

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Solution

The fourth proportional to 79.98, 110.42 and 55.46 is: 76.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.98 : 110.42 = 55.46 : x
  2. Step 2: Convert to fraction form
    79.98/110.42 = 55.46/x
  3. Step 3: Cross multiply
    79.98x = 110.42 × 55.46
  4. Step 4: Simplify right side
    79.98x = 6,123.89
  5. Step 5: Solve for x
    x = 6,123.89/79.98
  6. Step 6: Final answer
    x = 76.57

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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.