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Finding the Fourth Proportional to 114.64, 171.96 and 65.88

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Solution

The fourth proportional to 114.64, 171.96 and 65.88 is: 98.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.64 : 171.96 = 65.88 : x
  2. Step 2: Convert to fraction form
    114.64/171.96 = 65.88/x
  3. Step 3: Cross multiply
    114.64x = 171.96 × 65.88
  4. Step 4: Simplify right side
    114.64x = 11,328.72
  5. Step 5: Solve for x
    x = 11,328.72/114.64
  6. Step 6: Final answer
    x = 98.82

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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.