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Finding the Fourth Proportional to 30.86, 46.31 and 10.58

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Solution

The fourth proportional to 30.86, 46.31 and 10.58 is: 15.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.86 : 46.31 = 10.58 : x
  2. Step 2: Convert to fraction form
    30.86/46.31 = 10.58/x
  3. Step 3: Cross multiply
    30.86x = 46.31 × 10.58
  4. Step 4: Simplify right side
    30.86x = 489.74
  5. Step 5: Solve for x
    x = 489.74/30.86
  6. Step 6: Final answer
    x = 15.87

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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.