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Finding the Fourth Proportional to 154.37, 212.92 and 99.07

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Solution

The fourth proportional to 154.37, 212.92 and 99.07 is: 136.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.37 : 212.92 = 99.07 : x
  2. Step 2: Convert to fraction form
    154.37/212.92 = 99.07/x
  3. Step 3: Cross multiply
    154.37x = 212.92 × 99.07
  4. Step 4: Simplify right side
    154.37x = 21,093.20
  5. Step 5: Solve for x
    x = 21,093.20/154.37
  6. Step 6: Final answer
    x = 136.64

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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.