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Finding the Fourth Proportional to 73.78, 102.06 and 61.46

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Solution

The fourth proportional to 73.78, 102.06 and 61.46 is: 85.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.78 : 102.06 = 61.46 : x
  2. Step 2: Convert to fraction form
    73.78/102.06 = 61.46/x
  3. Step 3: Cross multiply
    73.78x = 102.06 × 61.46
  4. Step 4: Simplify right side
    73.78x = 6,272.48
  5. Step 5: Solve for x
    x = 6,272.48/73.78
  6. Step 6: Final answer
    x = 85.02

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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.