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Finding the Fourth Proportional to 64.11, 88.49 and 48.62

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Solution

The fourth proportional to 64.11, 88.49 and 48.62 is: 67.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.11 : 88.49 = 48.62 : x
  2. Step 2: Convert to fraction form
    64.11/88.49 = 48.62/x
  3. Step 3: Cross multiply
    64.11x = 88.49 × 48.62
  4. Step 4: Simplify right side
    64.11x = 4,302.38
  5. Step 5: Solve for x
    x = 4,302.38/64.11
  6. Step 6: Final answer
    x = 67.11

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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.