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Finding the Fourth Proportional to 75.64, 104.42 and 46.54

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Solution

The fourth proportional to 75.64, 104.42 and 46.54 is: 64.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.64 : 104.42 = 46.54 : x
  2. Step 2: Convert to fraction form
    75.64/104.42 = 46.54/x
  3. Step 3: Cross multiply
    75.64x = 104.42 × 46.54
  4. Step 4: Simplify right side
    75.64x = 4,859.71
  5. Step 5: Solve for x
    x = 4,859.71/75.64
  6. Step 6: Final answer
    x = 64.25

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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.