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Finding the Fourth Proportional to 56.90, 85.23 and 31.14

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Solution

The fourth proportional to 56.90, 85.23 and 31.14 is: 46.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.90 : 85.23 = 31.14 : x
  2. Step 2: Convert to fraction form
    56.90/85.23 = 31.14/x
  3. Step 3: Cross multiply
    56.90x = 85.23 × 31.14
  4. Step 4: Simplify right side
    56.90x = 2,654.06
  5. Step 5: Solve for x
    x = 2,654.06/56.90
  6. Step 6: Final answer
    x = 46.64

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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.