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Finding the Fourth Proportional to 103.15, 142.34 and 56.52

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Solution

The fourth proportional to 103.15, 142.34 and 56.52 is: 77.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.15 : 142.34 = 56.52 : x
  2. Step 2: Convert to fraction form
    103.15/142.34 = 56.52/x
  3. Step 3: Cross multiply
    103.15x = 142.34 × 56.52
  4. Step 4: Simplify right side
    103.15x = 8,044.82
  5. Step 5: Solve for x
    x = 8,044.82/103.15
  6. Step 6: Final answer
    x = 77.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.