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Finding the Fourth Proportional to 126.59, 174.65 and 74.84

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Solution

The fourth proportional to 126.59, 174.65 and 74.84 is: 103.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.59 : 174.65 = 74.84 : x
  2. Step 2: Convert to fraction form
    126.59/174.65 = 74.84/x
  3. Step 3: Cross multiply
    126.59x = 174.65 × 74.84
  4. Step 4: Simplify right side
    126.59x = 13,069.56
  5. Step 5: Solve for x
    x = 13,069.56/126.59
  6. Step 6: Final answer
    x = 103.25

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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.