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Finding the Fourth Proportional to 145.34, 217.79 and 73.10

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Solution

The fourth proportional to 145.34, 217.79 and 73.10 is: 109.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.34 : 217.79 = 73.10 : x
  2. Step 2: Convert to fraction form
    145.34/217.79 = 73.10/x
  3. Step 3: Cross multiply
    145.34x = 217.79 × 73.10
  4. Step 4: Simplify right side
    145.34x = 15,919.54
  5. Step 5: Solve for x
    x = 15,919.54/145.34
  6. Step 6: Final answer
    x = 109.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.