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Finding the Fourth Proportional to 114.52, 171.88 and 84.16

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Solution

The fourth proportional to 114.52, 171.88 and 84.16 is: 126.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.52 : 171.88 = 84.16 : x
  2. Step 2: Convert to fraction form
    114.52/171.88 = 84.16/x
  3. Step 3: Cross multiply
    114.52x = 171.88 × 84.16
  4. Step 4: Simplify right side
    114.52x = 14,465.42
  5. Step 5: Solve for x
    x = 14,465.42/114.52
  6. Step 6: Final answer
    x = 126.31

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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.