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Finding the Fourth Proportional to 145.13, 217.63 and 76.69

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Solution

The fourth proportional to 145.13, 217.63 and 76.69 is: 114.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.13 : 217.63 = 76.69 : x
  2. Step 2: Convert to fraction form
    145.13/217.63 = 76.69/x
  3. Step 3: Cross multiply
    145.13x = 217.63 × 76.69
  4. Step 4: Simplify right side
    145.13x = 16,688.57
  5. Step 5: Solve for x
    x = 16,688.57/145.13
  6. Step 6: Final answer
    x = 114.99

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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.