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Finding the Fourth Proportional to 152.68, 229.02 and 61.36

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Solution

The fourth proportional to 152.68, 229.02 and 61.36 is: 92.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.68 : 229.02 = 61.36 : x
  2. Step 2: Convert to fraction form
    152.68/229.02 = 61.36/x
  3. Step 3: Cross multiply
    152.68x = 229.02 × 61.36
  4. Step 4: Simplify right side
    152.68x = 14,052.67
  5. Step 5: Solve for x
    x = 14,052.67/152.68
  6. Step 6: Final answer
    x = 92.04

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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.