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Finding the Fourth Proportional to 31.78, 47.70 and 30.10

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Solution

The fourth proportional to 31.78, 47.70 and 30.10 is: 45.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.78 : 47.70 = 30.10 : x
  2. Step 2: Convert to fraction form
    31.78/47.70 = 30.10/x
  3. Step 3: Cross multiply
    31.78x = 47.70 × 30.10
  4. Step 4: Simplify right side
    31.78x = 1,435.77
  5. Step 5: Solve for x
    x = 1,435.77/31.78
  6. Step 6: Final answer
    x = 45.18

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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.