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Finding the Fourth Proportional to 112.66, 169 and 31.51

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Solution

The fourth proportional to 112.66, 169 and 31.51 is: 47.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.66 : 169 = 31.51 : x
  2. Step 2: Convert to fraction form
    112.66/169 = 31.51/x
  3. Step 3: Cross multiply
    112.66x = 169 × 31.51
  4. Step 4: Simplify right side
    112.66x = 5,325.19
  5. Step 5: Solve for x
    x = 5,325.19/112.66
  6. Step 6: Final answer
    x = 47.27

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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.