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Finding the Fourth Proportional to 56.93, 85.21 and 31.19

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Solution

The fourth proportional to 56.93, 85.21 and 31.19 is: 46.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.93 : 85.21 = 31.19 : x
  2. Step 2: Convert to fraction form
    56.93/85.21 = 31.19/x
  3. Step 3: Cross multiply
    56.93x = 85.21 × 31.19
  4. Step 4: Simplify right side
    56.93x = 2,657.70
  5. Step 5: Solve for x
    x = 2,657.70/56.93
  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.