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Finding the Fourth Proportional to 66.07, 91.35 and 48.75

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Solution

The fourth proportional to 66.07, 91.35 and 48.75 is: 67.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.07 : 91.35 = 48.75 : x
  2. Step 2: Convert to fraction form
    66.07/91.35 = 48.75/x
  3. Step 3: Cross multiply
    66.07x = 91.35 × 48.75
  4. Step 4: Simplify right side
    66.07x = 4,453.62
  5. Step 5: Solve for x
    x = 4,453.62/66.07
  6. Step 6: Final answer
    x = 67.41

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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.