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Finding the Fourth Proportional to 30.87, 46.54 and 30.61

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Solution

The fourth proportional to 30.87, 46.54 and 30.61 is: 46.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.87 : 46.54 = 30.61 : x
  2. Step 2: Convert to fraction form
    30.87/46.54 = 30.61/x
  3. Step 3: Cross multiply
    30.87x = 46.54 × 30.61
  4. Step 4: Simplify right side
    30.87x = 1,424.69
  5. Step 5: Solve for x
    x = 1,424.69/30.87
  6. Step 6: Final answer
    x = 46.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.