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Finding the Fourth Proportional to 142.35, 213 and 87.54

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Solution

The fourth proportional to 142.35, 213 and 87.54 is: 130.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.35 : 213 = 87.54 : x
  2. Step 2: Convert to fraction form
    142.35/213 = 87.54/x
  3. Step 3: Cross multiply
    142.35x = 213 × 87.54
  4. Step 4: Simplify right side
    142.35x = 18,646.02
  5. Step 5: Solve for x
    x = 18,646.02/142.35
  6. Step 6: Final answer
    x = 130.99

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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.