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Finding the Fourth Proportional to 151.34, 226.85 and 59.98

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Solution

The fourth proportional to 151.34, 226.85 and 59.98 is: 89.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.34 : 226.85 = 59.98 : x
  2. Step 2: Convert to fraction form
    151.34/226.85 = 59.98/x
  3. Step 3: Cross multiply
    151.34x = 226.85 × 59.98
  4. Step 4: Simplify right side
    151.34x = 13,606.67
  5. Step 5: Solve for x
    x = 13,606.67/151.34
  6. Step 6: Final answer
    x = 89.91

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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.