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Finding the Fourth Proportional to 103.56, 142.84 and 62.10

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Solution

The fourth proportional to 103.56, 142.84 and 62.10 is: 85.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.56 : 142.84 = 62.10 : x
  2. Step 2: Convert to fraction form
    103.56/142.84 = 62.10/x
  3. Step 3: Cross multiply
    103.56x = 142.84 × 62.10
  4. Step 4: Simplify right side
    103.56x = 8,870.52
  5. Step 5: Solve for x
    x = 8,870.52/103.56
  6. Step 6: Final answer
    x = 85.65

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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.