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Finding the Fourth Proportional to 105.95, 146.08 and 91.17

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Solution

The fourth proportional to 105.95, 146.08 and 91.17 is: 125.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.95 : 146.08 = 91.17 : x
  2. Step 2: Convert to fraction form
    105.95/146.08 = 91.17/x
  3. Step 3: Cross multiply
    105.95x = 146.08 × 91.17
  4. Step 4: Simplify right side
    105.95x = 13,317.16
  5. Step 5: Solve for x
    x = 13,317.16/105.95
  6. Step 6: Final answer
    x = 125.70

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Why These Related Problems?

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