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Finding the Fourth Proportional to 66.07, 91.29 and 53.92

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Solution

The fourth proportional to 66.07, 91.29 and 53.92 is: 74.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.07 : 91.29 = 53.92 : x
  2. Step 2: Convert to fraction form
    66.07/91.29 = 53.92/x
  3. Step 3: Cross multiply
    66.07x = 91.29 × 53.92
  4. Step 4: Simplify right side
    66.07x = 4,922.36
  5. Step 5: Solve for x
    x = 4,922.36/66.07
  6. Step 6: Final answer
    x = 74.50

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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.