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Finding the Fourth Proportional to 46.65, 64.40 and 31.13

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Solution

The fourth proportional to 46.65, 64.40 and 31.13 is: 42.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.65 : 64.40 = 31.13 : x
  2. Step 2: Convert to fraction form
    46.65/64.40 = 31.13/x
  3. Step 3: Cross multiply
    46.65x = 64.40 × 31.13
  4. Step 4: Simplify right side
    46.65x = 2,004.77
  5. Step 5: Solve for x
    x = 2,004.77/46.65
  6. Step 6: Final answer
    x = 42.97

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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.