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Finding the Fourth Proportional to 145.57, 218.24 and 87.81

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Solution

The fourth proportional to 145.57, 218.24 and 87.81 is: 131.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.57 : 218.24 = 87.81 : x
  2. Step 2: Convert to fraction form
    145.57/218.24 = 87.81/x
  3. Step 3: Cross multiply
    145.57x = 218.24 × 87.81
  4. Step 4: Simplify right side
    145.57x = 19,163.83
  5. Step 5: Solve for x
    x = 19,163.83/145.57
  6. Step 6: Final answer
    x = 131.64

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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.