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Finding the Fourth Proportional to 152.94, 229.30 and 87.94

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Solution

The fourth proportional to 152.94, 229.30 and 87.94 is: 131.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.94 : 229.30 = 87.94 : x
  2. Step 2: Convert to fraction form
    152.94/229.30 = 87.94/x
  3. Step 3: Cross multiply
    152.94x = 229.30 × 87.94
  4. Step 4: Simplify right side
    152.94x = 20,164.64
  5. Step 5: Solve for x
    x = 20,164.64/152.94
  6. Step 6: Final answer
    x = 131.85

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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.