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Finding the Fourth Proportional to 142.79, 214.16 and 40.05

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Solution

The fourth proportional to 142.79, 214.16 and 40.05 is: 60.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.79 : 214.16 = 40.05 : x
  2. Step 2: Convert to fraction form
    142.79/214.16 = 40.05/x
  3. Step 3: Cross multiply
    142.79x = 214.16 × 40.05
  4. Step 4: Simplify right side
    142.79x = 8,575.84
  5. Step 5: Solve for x
    x = 8,575.84/142.79
  6. Step 6: Final answer
    x = 60.06

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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.