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Finding the Fourth Proportional to 46.54, 64.52 and 44.10

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Solution

The fourth proportional to 46.54, 64.52 and 44.10 is: 61.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.54 : 64.52 = 44.10 : x
  2. Step 2: Convert to fraction form
    46.54/64.52 = 44.10/x
  3. Step 3: Cross multiply
    46.54x = 64.52 × 44.10
  4. Step 4: Simplify right side
    46.54x = 2,845.33
  5. Step 5: Solve for x
    x = 2,845.33/46.54
  6. Step 6: Final answer
    x = 61.14

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.