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Finding the Fourth Proportional to 36.17, 49.72 and 31.16

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Solution

The fourth proportional to 36.17, 49.72 and 31.16 is: 42.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.17 : 49.72 = 31.16 : x
  2. Step 2: Convert to fraction form
    36.17/49.72 = 31.16/x
  3. Step 3: Cross multiply
    36.17x = 49.72 × 31.16
  4. Step 4: Simplify right side
    36.17x = 1,549.21
  5. Step 5: Solve for x
    x = 1,549.21/36.17
  6. Step 6: Final answer
    x = 42.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.