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Finding the Fourth Proportional to 142.95, 214.47 and 70.79

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Solution

The fourth proportional to 142.95, 214.47 and 70.79 is: 106.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.95 : 214.47 = 70.79 : x
  2. Step 2: Convert to fraction form
    142.95/214.47 = 70.79/x
  3. Step 3: Cross multiply
    142.95x = 214.47 × 70.79
  4. Step 4: Simplify right side
    142.95x = 15,182.33
  5. Step 5: Solve for x
    x = 15,182.33/142.95
  6. Step 6: Final answer
    x = 106.21

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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.