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Finding the Fourth Proportional to 83.17, 114.71 and 53.64

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Solution

The fourth proportional to 83.17, 114.71 and 53.64 is: 73.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.17 : 114.71 = 53.64 : x
  2. Step 2: Convert to fraction form
    83.17/114.71 = 53.64/x
  3. Step 3: Cross multiply
    83.17x = 114.71 × 53.64
  4. Step 4: Simplify right side
    83.17x = 6,153.04
  5. Step 5: Solve for x
    x = 6,153.04/83.17
  6. Step 6: Final answer
    x = 73.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.