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Finding the Fourth Proportional to 46, 68.62 and 43.24

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Solution

The fourth proportional to 46, 68.62 and 43.24 is: 64.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46 : 68.62 = 43.24 : x
  2. Step 2: Convert to fraction form
    46/68.62 = 43.24/x
  3. Step 3: Cross multiply
    46x = 68.62 × 43.24
  4. Step 4: Simplify right side
    46x = 2,967.13
  5. Step 5: Solve for x
    x = 2,967.13/46
  6. Step 6: Final answer
    x = 64.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.