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Finding the Fourth Proportional to 56.71, 85.23 and 31.06

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Solution

The fourth proportional to 56.71, 85.23 and 31.06 is: 46.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.71 : 85.23 = 31.06 : x
  2. Step 2: Convert to fraction form
    56.71/85.23 = 31.06/x
  3. Step 3: Cross multiply
    56.71x = 85.23 × 31.06
  4. Step 4: Simplify right side
    56.71x = 2,647.24
  5. Step 5: Solve for x
    x = 2,647.24/56.71
  6. Step 6: Final answer
    x = 46.68

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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.