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Finding the Fourth Proportional to 142.93, 195.54 and 142.53

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Solution

The fourth proportional to 142.93, 195.54 and 142.53 is: 194.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.93 : 195.54 = 142.53 : x
  2. Step 2: Convert to fraction form
    142.93/195.54 = 142.53/x
  3. Step 3: Cross multiply
    142.93x = 195.54 × 142.53
  4. Step 4: Simplify right side
    142.93x = 27,870.32
  5. Step 5: Solve for x
    x = 27,870.32/142.93
  6. Step 6: Final answer
    x = 194.99

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.