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Finding the Fourth Proportional to 46.69, 64.44 and 31.14

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Solution

The fourth proportional to 46.69, 64.44 and 31.14 is: 42.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.69 : 64.44 = 31.14 : x
  2. Step 2: Convert to fraction form
    46.69/64.44 = 31.14/x
  3. Step 3: Cross multiply
    46.69x = 64.44 × 31.14
  4. Step 4: Simplify right side
    46.69x = 2,006.66
  5. Step 5: Solve for x
    x = 2,006.66/46.69
  6. Step 6: Final answer
    x = 42.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.