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Finding the Fourth Proportional to 59.82, 89.64 and 34.14

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Solution

The fourth proportional to 59.82, 89.64 and 34.14 is: 51.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.82 : 89.64 = 34.14 : x
  2. Step 2: Convert to fraction form
    59.82/89.64 = 34.14/x
  3. Step 3: Cross multiply
    59.82x = 89.64 × 34.14
  4. Step 4: Simplify right side
    59.82x = 3,060.31
  5. Step 5: Solve for x
    x = 3,060.31/59.82
  6. Step 6: Final answer
    x = 51.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.