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Finding the Fourth Proportional to 102.60, 153.77 and 78.44

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Solution

The fourth proportional to 102.60, 153.77 and 78.44 is: 117.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.60 : 153.77 = 78.44 : x
  2. Step 2: Convert to fraction form
    102.60/153.77 = 78.44/x
  3. Step 3: Cross multiply
    102.60x = 153.77 × 78.44
  4. Step 4: Simplify right side
    102.60x = 12,060.56
  5. Step 5: Solve for x
    x = 12,060.56/102.60
  6. Step 6: Final answer
    x = 117.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.