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Finding the Fourth Proportional to 154.37, 213 and 102.61

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Solution

The fourth proportional to 154.37, 213 and 102.61 is: 141.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.37 : 213 = 102.61 : x
  2. Step 2: Convert to fraction form
    154.37/213 = 102.61/x
  3. Step 3: Cross multiply
    154.37x = 213 × 102.61
  4. Step 4: Simplify right side
    154.37x = 21,855.93
  5. Step 5: Solve for x
    x = 21,855.93/154.37
  6. Step 6: Final answer
    x = 141.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.