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Finding the Fourth Proportional to 39.06, 58.53 and 31.08

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Solution

The fourth proportional to 39.06, 58.53 and 31.08 is: 46.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.06 : 58.53 = 31.08 : x
  2. Step 2: Convert to fraction form
    39.06/58.53 = 31.08/x
  3. Step 3: Cross multiply
    39.06x = 58.53 × 31.08
  4. Step 4: Simplify right side
    39.06x = 1,819.11
  5. Step 5: Solve for x
    x = 1,819.11/39.06
  6. Step 6: Final answer
    x = 46.57

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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.