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Finding the Fourth Proportional to 66.07, 90.97 and 54.37

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Solution

The fourth proportional to 66.07, 90.97 and 54.37 is: 74.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.07 : 90.97 = 54.37 : x
  2. Step 2: Convert to fraction form
    66.07/90.97 = 54.37/x
  3. Step 3: Cross multiply
    66.07x = 90.97 × 54.37
  4. Step 4: Simplify right side
    66.07x = 4,946.32
  5. Step 5: Solve for x
    x = 4,946.32/66.07
  6. Step 6: Final answer
    x = 74.87

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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.