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Finding the Fourth Proportional to 83.02, 114.53 and 51.93

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Solution

The fourth proportional to 83.02, 114.53 and 51.93 is: 71.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.02 : 114.53 = 51.93 : x
  2. Step 2: Convert to fraction form
    83.02/114.53 = 51.93/x
  3. Step 3: Cross multiply
    83.02x = 114.53 × 51.93
  4. Step 4: Simplify right side
    83.02x = 5,947.67
  5. Step 5: Solve for x
    x = 5,947.67/83.02
  6. Step 6: Final answer
    x = 71.64

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Why These Related Problems?

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