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Finding the Fourth Proportional to 142.97, 214.41 and 46.76

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Solution

The fourth proportional to 142.97, 214.41 and 46.76 is: 70.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.97 : 214.41 = 46.76 : x
  2. Step 2: Convert to fraction form
    142.97/214.41 = 46.76/x
  3. Step 3: Cross multiply
    142.97x = 214.41 × 46.76
  4. Step 4: Simplify right side
    142.97x = 10,025.81
  5. Step 5: Solve for x
    x = 10,025.81/142.97
  6. Step 6: Final answer
    x = 70.13

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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.