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Finding the Fourth Proportional to 62.42, 85.96 and 48.65

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Solution

The fourth proportional to 62.42, 85.96 and 48.65 is: 67.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.42 : 85.96 = 48.65 : x
  2. Step 2: Convert to fraction form
    62.42/85.96 = 48.65/x
  3. Step 3: Cross multiply
    62.42x = 85.96 × 48.65
  4. Step 4: Simplify right side
    62.42x = 4,181.59
  5. Step 5: Solve for x
    x = 4,181.59/62.42
  6. Step 6: Final answer
    x = 67.00

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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.