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Finding the Fourth Proportional to 73.06, 100.89 and 46.88

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Solution

The fourth proportional to 73.06, 100.89 and 46.88 is: 64.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.06 : 100.89 = 46.88 : x
  2. Step 2: Convert to fraction form
    73.06/100.89 = 46.88/x
  3. Step 3: Cross multiply
    73.06x = 100.89 × 46.88
  4. Step 4: Simplify right side
    73.06x = 4,729.72
  5. Step 5: Solve for x
    x = 4,729.72/73.06
  6. Step 6: Final answer
    x = 64.74

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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.