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Finding the Fourth Proportional to 105.42, 144.51 and 103.58

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Solution

The fourth proportional to 105.42, 144.51 and 103.58 is: 141.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.42 : 144.51 = 103.58 : x
  2. Step 2: Convert to fraction form
    105.42/144.51 = 103.58/x
  3. Step 3: Cross multiply
    105.42x = 144.51 × 103.58
  4. Step 4: Simplify right side
    105.42x = 14,968.35
  5. Step 5: Solve for x
    x = 14,968.35/105.42
  6. Step 6: Final answer
    x = 141.99

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.