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Finding the Fourth Proportional to 114.64, 171.86 and 53.84

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Solution

The fourth proportional to 114.64, 171.86 and 53.84 is: 80.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.64 : 171.86 = 53.84 : x
  2. Step 2: Convert to fraction form
    114.64/171.86 = 53.84/x
  3. Step 3: Cross multiply
    114.64x = 171.86 × 53.84
  4. Step 4: Simplify right side
    114.64x = 9,253.10
  5. Step 5: Solve for x
    x = 9,253.10/114.64
  6. Step 6: Final answer
    x = 80.72

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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.