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Finding the Fourth Proportional to 103.40, 141.77 and 99.72

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Solution

The fourth proportional to 103.40, 141.77 and 99.72 is: 136.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.40 : 141.77 = 99.72 : x
  2. Step 2: Convert to fraction form
    103.40/141.77 = 99.72/x
  3. Step 3: Cross multiply
    103.40x = 141.77 × 99.72
  4. Step 4: Simplify right side
    103.40x = 14,137.30
  5. Step 5: Solve for x
    x = 14,137.30/103.40
  6. Step 6: Final answer
    x = 136.72

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.