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Finding the Fourth Proportional to 105.40, 145.40 and 66.56

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Solution

The fourth proportional to 105.40, 145.40 and 66.56 is: 91.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.40 : 145.40 = 66.56 : x
  2. Step 2: Convert to fraction form
    105.40/145.40 = 66.56/x
  3. Step 3: Cross multiply
    105.40x = 145.40 × 66.56
  4. Step 4: Simplify right side
    105.40x = 9,677.82
  5. Step 5: Solve for x
    x = 9,677.82/105.40
  6. Step 6: Final answer
    x = 91.82

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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.