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Finding the Fourth Proportional to 46.16, 63.68 and 31.58

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Solution

The fourth proportional to 46.16, 63.68 and 31.58 is: 43.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.16 : 63.68 = 31.58 : x
  2. Step 2: Convert to fraction form
    46.16/63.68 = 31.58/x
  3. Step 3: Cross multiply
    46.16x = 63.68 × 31.58
  4. Step 4: Simplify right side
    46.16x = 2,011.01
  5. Step 5: Solve for x
    x = 2,011.01/46.16
  6. Step 6: Final answer
    x = 43.57

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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.