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Finding the Fourth Proportional to 105.42, 145.55 and 94.49

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Solution

The fourth proportional to 105.42, 145.55 and 94.49 is: 130.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.42 : 145.55 = 94.49 : x
  2. Step 2: Convert to fraction form
    105.42/145.55 = 94.49/x
  3. Step 3: Cross multiply
    105.42x = 145.55 × 94.49
  4. Step 4: Simplify right side
    105.42x = 13,751.82
  5. Step 5: Solve for x
    x = 13,751.82/105.42
  6. Step 6: Final answer
    x = 130.45

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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.