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Finding the Fourth Proportional to 102.59, 140.64 and 100.86

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Solution

The fourth proportional to 102.59, 140.64 and 100.86 is: 138.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.59 : 140.64 = 100.86 : x
  2. Step 2: Convert to fraction form
    102.59/140.64 = 100.86/x
  3. Step 3: Cross multiply
    102.59x = 140.64 × 100.86
  4. Step 4: Simplify right side
    102.59x = 14,184.95
  5. Step 5: Solve for x
    x = 14,184.95/102.59
  6. Step 6: Final answer
    x = 138.28

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Why These Related Problems?

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