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Finding the Fourth Proportional to 43.24, 59.64 and 35.14

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Solution

The fourth proportional to 43.24, 59.64 and 35.14 is: 48.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.24 : 59.64 = 35.14 : x
  2. Step 2: Convert to fraction form
    43.24/59.64 = 35.14/x
  3. Step 3: Cross multiply
    43.24x = 59.64 × 35.14
  4. Step 4: Simplify right side
    43.24x = 2,095.75
  5. Step 5: Solve for x
    x = 2,095.75/43.24
  6. Step 6: Final answer
    x = 48.47

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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.