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Finding the Fourth Proportional to 154.90, 213.75 and 91.90

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Solution

The fourth proportional to 154.90, 213.75 and 91.90 is: 126.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.90 : 213.75 = 91.90 : x
  2. Step 2: Convert to fraction form
    154.90/213.75 = 91.90/x
  3. Step 3: Cross multiply
    154.90x = 213.75 × 91.90
  4. Step 4: Simplify right side
    154.90x = 19,643.63
  5. Step 5: Solve for x
    x = 19,643.63/154.90
  6. Step 6: Final answer
    x = 126.81

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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.