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Finding the Fourth Proportional to 126.58, 174.68 and 74.16

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Solution

The fourth proportional to 126.58, 174.68 and 74.16 is: 102.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.58 : 174.68 = 74.16 : x
  2. Step 2: Convert to fraction form
    126.58/174.68 = 74.16/x
  3. Step 3: Cross multiply
    126.58x = 174.68 × 74.16
  4. Step 4: Simplify right side
    126.58x = 12,954.27
  5. Step 5: Solve for x
    x = 12,954.27/126.58
  6. Step 6: Final answer
    x = 102.34

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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.