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Finding the Fourth Proportional to 66.09, 90.78 and 55.11

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Solution

The fourth proportional to 66.09, 90.78 and 55.11 is: 75.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.09 : 90.78 = 55.11 : x
  2. Step 2: Convert to fraction form
    66.09/90.78 = 55.11/x
  3. Step 3: Cross multiply
    66.09x = 90.78 × 55.11
  4. Step 4: Simplify right side
    66.09x = 5,002.89
  5. Step 5: Solve for x
    x = 5,002.89/66.09
  6. Step 6: Final answer
    x = 75.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.