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Finding the Fourth Proportional to 104.81, 145.34 and 101.46

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Solution

The fourth proportional to 104.81, 145.34 and 101.46 is: 140.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.81 : 145.34 = 101.46 : x
  2. Step 2: Convert to fraction form
    104.81/145.34 = 101.46/x
  3. Step 3: Cross multiply
    104.81x = 145.34 × 101.46
  4. Step 4: Simplify right side
    104.81x = 14,746.61
  5. Step 5: Solve for x
    x = 14,746.61/104.81
  6. Step 6: Final answer
    x = 140.71

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.