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Finding the Fourth Proportional to 103.60, 141.04 and 102.70

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Solution

The fourth proportional to 103.60, 141.04 and 102.70 is: 139.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.60 : 141.04 = 102.70 : x
  2. Step 2: Convert to fraction form
    103.60/141.04 = 102.70/x
  3. Step 3: Cross multiply
    103.60x = 141.04 × 102.70
  4. Step 4: Simplify right side
    103.60x = 14,484.81
  5. Step 5: Solve for x
    x = 14,484.81/103.60
  6. Step 6: Final answer
    x = 139.81

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Why These Related Problems?

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