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Finding the Fourth Proportional to 102.99, 140.34 and 102.63

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Solution

The fourth proportional to 102.99, 140.34 and 102.63 is: 139.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.99 : 140.34 = 102.63 : x
  2. Step 2: Convert to fraction form
    102.99/140.34 = 102.63/x
  3. Step 3: Cross multiply
    102.99x = 140.34 × 102.63
  4. Step 4: Simplify right side
    102.99x = 14,403.09
  5. Step 5: Solve for x
    x = 14,403.09/102.99
  6. Step 6: Final answer
    x = 139.85

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.