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Finding the Fourth Proportional to 152.88, 229.07 and 91.94

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Solution

The fourth proportional to 152.88, 229.07 and 91.94 is: 137.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.88 : 229.07 = 91.94 : x
  2. Step 2: Convert to fraction form
    152.88/229.07 = 91.94/x
  3. Step 3: Cross multiply
    152.88x = 229.07 × 91.94
  4. Step 4: Simplify right side
    152.88x = 21,059.55
  5. Step 5: Solve for x
    x = 21,059.55/152.88
  6. Step 6: Final answer
    x = 137.75

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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.