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Finding the Fourth Proportional to 66.23, 91.33 and 48.86

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Solution

The fourth proportional to 66.23, 91.33 and 48.86 is: 67.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.23 : 91.33 = 48.86 : x
  2. Step 2: Convert to fraction form
    66.23/91.33 = 48.86/x
  3. Step 3: Cross multiply
    66.23x = 91.33 × 48.86
  4. Step 4: Simplify right side
    66.23x = 4,462.38
  5. Step 5: Solve for x
    x = 4,462.38/66.23
  6. Step 6: Final answer
    x = 67.38

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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.