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Finding the Fourth Proportional to 114.13, 171.22 and 37.10

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Solution

The fourth proportional to 114.13, 171.22 and 37.10 is: 55.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.13 : 171.22 = 37.10 : x
  2. Step 2: Convert to fraction form
    114.13/171.22 = 37.10/x
  3. Step 3: Cross multiply
    114.13x = 171.22 × 37.10
  4. Step 4: Simplify right side
    114.13x = 6,352.26
  5. Step 5: Solve for x
    x = 6,352.26/114.13
  6. Step 6: Final answer
    x = 55.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.