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Finding the Fourth Proportional to 103.02, 142.94 and 100.50

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Solution

The fourth proportional to 103.02, 142.94 and 100.50 is: 139.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.02 : 142.94 = 100.50 : x
  2. Step 2: Convert to fraction form
    103.02/142.94 = 100.50/x
  3. Step 3: Cross multiply
    103.02x = 142.94 × 100.50
  4. Step 4: Simplify right side
    103.02x = 14,364.97
  5. Step 5: Solve for x
    x = 14,364.97/103.02
  6. Step 6: Final answer
    x = 139.44

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.