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Finding the Fourth Proportional to 126.60, 174.63 and 74.85

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Solution

The fourth proportional to 126.60, 174.63 and 74.85 is: 103.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.60 : 174.63 = 74.85 : x
  2. Step 2: Convert to fraction form
    126.60/174.63 = 74.85/x
  3. Step 3: Cross multiply
    126.60x = 174.63 × 74.85
  4. Step 4: Simplify right side
    126.60x = 13,071.06
  5. Step 5: Solve for x
    x = 13,071.06/126.60
  6. Step 6: Final answer
    x = 103.25

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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.