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Finding the Fourth Proportional to 142.94, 214.09 and 102.24

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Solution

The fourth proportional to 142.94, 214.09 and 102.24 is: 153.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.94 : 214.09 = 102.24 : x
  2. Step 2: Convert to fraction form
    142.94/214.09 = 102.24/x
  3. Step 3: Cross multiply
    142.94x = 214.09 × 102.24
  4. Step 4: Simplify right side
    142.94x = 21,888.31
  5. Step 5: Solve for x
    x = 21,888.31/142.94
  6. Step 6: Final answer
    x = 153.13

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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.