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Finding the Fourth Proportional to 82.83, 114.31 and 53.77

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Solution

The fourth proportional to 82.83, 114.31 and 53.77 is: 74.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.83 : 114.31 = 53.77 : x
  2. Step 2: Convert to fraction form
    82.83/114.31 = 53.77/x
  3. Step 3: Cross multiply
    82.83x = 114.31 × 53.77
  4. Step 4: Simplify right side
    82.83x = 6,146.18
  5. Step 5: Solve for x
    x = 6,146.18/82.83
  6. Step 6: Final answer
    x = 74.20

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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.