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Finding the Fourth Proportional to 82.39, 123.59 and 46.35

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Solution

The fourth proportional to 82.39, 123.59 and 46.35 is: 69.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.39 : 123.59 = 46.35 : x
  2. Step 2: Convert to fraction form
    82.39/123.59 = 46.35/x
  3. Step 3: Cross multiply
    82.39x = 123.59 × 46.35
  4. Step 4: Simplify right side
    82.39x = 5,728.40
  5. Step 5: Solve for x
    x = 5,728.40/82.39
  6. Step 6: Final answer
    x = 69.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.