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Finding the Fourth Proportional to 109.10, 150.55 and 59.98

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Solution

The fourth proportional to 109.10, 150.55 and 59.98 is: 82.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.10 : 150.55 = 59.98 : x
  2. Step 2: Convert to fraction form
    109.10/150.55 = 59.98/x
  3. Step 3: Cross multiply
    109.10x = 150.55 × 59.98
  4. Step 4: Simplify right side
    109.10x = 9,029.24
  5. Step 5: Solve for x
    x = 9,029.24/109.10
  6. Step 6: Final answer
    x = 82.76

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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.