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Finding the Fourth Proportional to 100.37, 138.35 and 78.50

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Solution

The fourth proportional to 100.37, 138.35 and 78.50 is: 108.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.37 : 138.35 = 78.50 : x
  2. Step 2: Convert to fraction form
    100.37/138.35 = 78.50/x
  3. Step 3: Cross multiply
    100.37x = 138.35 × 78.50
  4. Step 4: Simplify right side
    100.37x = 10,859.98
  5. Step 5: Solve for x
    x = 10,859.98/100.37
  6. Step 6: Final answer
    x = 108.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.