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Finding the Fourth Proportional to 97.60, 146.46 and 73.76

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Solution

The fourth proportional to 97.60, 146.46 and 73.76 is: 110.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.60 : 146.46 = 73.76 : x
  2. Step 2: Convert to fraction form
    97.60/146.46 = 73.76/x
  3. Step 3: Cross multiply
    97.60x = 146.46 × 73.76
  4. Step 4: Simplify right side
    97.60x = 10,802.89
  5. Step 5: Solve for x
    x = 10,802.89/97.60
  6. Step 6: Final answer
    x = 110.69

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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.