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Finding the Fourth Proportional to 61.41, 91.93 and 45.39

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Solution

The fourth proportional to 61.41, 91.93 and 45.39 is: 67.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.41 : 91.93 = 45.39 : x
  2. Step 2: Convert to fraction form
    61.41/91.93 = 45.39/x
  3. Step 3: Cross multiply
    61.41x = 91.93 × 45.39
  4. Step 4: Simplify right side
    61.41x = 4,172.02
  5. Step 5: Solve for x
    x = 4,172.02/61.41
  6. Step 6: Final answer
    x = 67.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.