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Finding the Fourth Proportional to 65.26, 90.11 and 55.52

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Solution

The fourth proportional to 65.26, 90.11 and 55.52 is: 76.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.26 : 90.11 = 55.52 : x
  2. Step 2: Convert to fraction form
    65.26/90.11 = 55.52/x
  3. Step 3: Cross multiply
    65.26x = 90.11 × 55.52
  4. Step 4: Simplify right side
    65.26x = 5,002.18
  5. Step 5: Solve for x
    x = 5,002.18/65.26
  6. Step 6: Final answer
    x = 76.66

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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.