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Finding the Fourth Proportional to 46.48, 64.10 and 31.72

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Solution

The fourth proportional to 46.48, 64.10 and 31.72 is: 43.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.48 : 64.10 = 31.72 : x
  2. Step 2: Convert to fraction form
    46.48/64.10 = 31.72/x
  3. Step 3: Cross multiply
    46.48x = 64.10 × 31.72
  4. Step 4: Simplify right side
    46.48x = 2,032.93
  5. Step 5: Solve for x
    x = 2,032.93/46.48
  6. Step 6: Final answer
    x = 43.74

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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.