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Finding the Fourth Proportional to 82.37, 123.54 and 53.39

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Solution

The fourth proportional to 82.37, 123.54 and 53.39 is: 80.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.37 : 123.54 = 53.39 : x
  2. Step 2: Convert to fraction form
    82.37/123.54 = 53.39/x
  3. Step 3: Cross multiply
    82.37x = 123.54 × 53.39
  4. Step 4: Simplify right side
    82.37x = 6,595.18
  5. Step 5: Solve for x
    x = 6,595.18/82.37
  6. Step 6: Final answer
    x = 80.07

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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.