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Finding the Fourth Proportional to 114.52, 171.60 and 73.84

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Solution

The fourth proportional to 114.52, 171.60 and 73.84 is: 110.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.52 : 171.60 = 73.84 : x
  2. Step 2: Convert to fraction form
    114.52/171.60 = 73.84/x
  3. Step 3: Cross multiply
    114.52x = 171.60 × 73.84
  4. Step 4: Simplify right side
    114.52x = 12,670.94
  5. Step 5: Solve for x
    x = 12,670.94/114.52
  6. Step 6: Final answer
    x = 110.64

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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.