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Finding the Fourth Proportional to 154.06, 212.59 and 91.88

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Solution

The fourth proportional to 154.06, 212.59 and 91.88 is: 126.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.06 : 212.59 = 91.88 : x
  2. Step 2: Convert to fraction form
    154.06/212.59 = 91.88/x
  3. Step 3: Cross multiply
    154.06x = 212.59 × 91.88
  4. Step 4: Simplify right side
    154.06x = 19,533.81
  5. Step 5: Solve for x
    x = 19,533.81/154.06
  6. Step 6: Final answer
    x = 126.79

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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.