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Finding the Fourth Proportional to 31.05, 46.58 and 13.02

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Solution

The fourth proportional to 31.05, 46.58 and 13.02 is: 19.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.05 : 46.58 = 13.02 : x
  2. Step 2: Convert to fraction form
    31.05/46.58 = 13.02/x
  3. Step 3: Cross multiply
    31.05x = 46.58 × 13.02
  4. Step 4: Simplify right side
    31.05x = 606.23
  5. Step 5: Solve for x
    x = 606.23/31.05
  6. Step 6: Final answer
    x = 19.52

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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.