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Finding the Fourth Proportional to 46.81, 64.54 and 31.26

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Solution

The fourth proportional to 46.81, 64.54 and 31.26 is: 43.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.81 : 64.54 = 31.26 : x
  2. Step 2: Convert to fraction form
    46.81/64.54 = 31.26/x
  3. Step 3: Cross multiply
    46.81x = 64.54 × 31.26
  4. Step 4: Simplify right side
    46.81x = 2,017.52
  5. Step 5: Solve for x
    x = 2,017.52/46.81
  6. Step 6: Final answer
    x = 43.10

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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.