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Finding the Fourth Proportional to 46.24, 64.10 and 43.48

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Solution

The fourth proportional to 46.24, 64.10 and 43.48 is: 60.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.24 : 64.10 = 43.48 : x
  2. Step 2: Convert to fraction form
    46.24/64.10 = 43.48/x
  3. Step 3: Cross multiply
    46.24x = 64.10 × 43.48
  4. Step 4: Simplify right side
    46.24x = 2,787.07
  5. Step 5: Solve for x
    x = 2,787.07/46.24
  6. Step 6: Final answer
    x = 60.27

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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.