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Finding the Fourth Proportional to 75.65, 104.42 and 46.15

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Solution

The fourth proportional to 75.65, 104.42 and 46.15 is: 63.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.65 : 104.42 = 46.15 : x
  2. Step 2: Convert to fraction form
    75.65/104.42 = 46.15/x
  3. Step 3: Cross multiply
    75.65x = 104.42 × 46.15
  4. Step 4: Simplify right side
    75.65x = 4,818.23
  5. Step 5: Solve for x
    x = 4,818.23/75.65
  6. Step 6: Final answer
    x = 63.69

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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.