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Finding the Fourth Proportional to 43.30, 59.64 and 34.07

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Solution

The fourth proportional to 43.30, 59.64 and 34.07 is: 46.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.30 : 59.64 = 34.07 : x
  2. Step 2: Convert to fraction form
    43.30/59.64 = 34.07/x
  3. Step 3: Cross multiply
    43.30x = 59.64 × 34.07
  4. Step 4: Simplify right side
    43.30x = 2,032.04
  5. Step 5: Solve for x
    x = 2,032.04/43.30
  6. Step 6: Final answer
    x = 46.93

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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.