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Finding the Fourth Proportional to 97.78, 146.54 and 46.40

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Solution

The fourth proportional to 97.78, 146.54 and 46.40 is: 69.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.78 : 146.54 = 46.40 : x
  2. Step 2: Convert to fraction form
    97.78/146.54 = 46.40/x
  3. Step 3: Cross multiply
    97.78x = 146.54 × 46.40
  4. Step 4: Simplify right side
    97.78x = 6,799.46
  5. Step 5: Solve for x
    x = 6,799.46/97.78
  6. Step 6: Final answer
    x = 69.54

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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.