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Finding the Fourth Proportional to 126.48, 174.47 and 85.03

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Solution

The fourth proportional to 126.48, 174.47 and 85.03 is: 117.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.48 : 174.47 = 85.03 : x
  2. Step 2: Convert to fraction form
    126.48/174.47 = 85.03/x
  3. Step 3: Cross multiply
    126.48x = 174.47 × 85.03
  4. Step 4: Simplify right side
    126.48x = 14,835.40
  5. Step 5: Solve for x
    x = 14,835.40/126.48
  6. Step 6: Final answer
    x = 117.30

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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.