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Finding the Fourth Proportional to 142.02, 212.86 and 73.51

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Solution

The fourth proportional to 142.02, 212.86 and 73.51 is: 110.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.02 : 212.86 = 73.51 : x
  2. Step 2: Convert to fraction form
    142.02/212.86 = 73.51/x
  3. Step 3: Cross multiply
    142.02x = 212.86 × 73.51
  4. Step 4: Simplify right side
    142.02x = 15,646.90
  5. Step 5: Solve for x
    x = 15,646.90/142.02
  6. Step 6: Final answer
    x = 110.17

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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.