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Finding the Fourth Proportional to 57.16, 85.70 and 31.46

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Solution

The fourth proportional to 57.16, 85.70 and 31.46 is: 47.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.16 : 85.70 = 31.46 : x
  2. Step 2: Convert to fraction form
    57.16/85.70 = 31.46/x
  3. Step 3: Cross multiply
    57.16x = 85.70 × 31.46
  4. Step 4: Simplify right side
    57.16x = 2,696.12
  5. Step 5: Solve for x
    x = 2,696.12/57.16
  6. Step 6: Final answer
    x = 47.17

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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.