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Finding the Fourth Proportional to 142.90, 214.27 and 45.37

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Solution

The fourth proportional to 142.90, 214.27 and 45.37 is: 68.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.90 : 214.27 = 45.37 : x
  2. Step 2: Convert to fraction form
    142.90/214.27 = 45.37/x
  3. Step 3: Cross multiply
    142.90x = 214.27 × 45.37
  4. Step 4: Simplify right side
    142.90x = 9,721.43
  5. Step 5: Solve for x
    x = 9,721.43/142.90
  6. Step 6: Final answer
    x = 68.03

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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.