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Finding the Fourth Proportional to 154.63, 231.94 and 97.02

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Solution

The fourth proportional to 154.63, 231.94 and 97.02 is: 145.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.63 : 231.94 = 97.02 : x
  2. Step 2: Convert to fraction form
    154.63/231.94 = 97.02/x
  3. Step 3: Cross multiply
    154.63x = 231.94 × 97.02
  4. Step 4: Simplify right side
    154.63x = 22,501.66
  5. Step 5: Solve for x
    x = 22,501.66/154.63
  6. Step 6: Final answer
    x = 145.52

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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.