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Finding the Fourth Proportional to 102.47, 153.64 and 54.41

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Solution

The fourth proportional to 102.47, 153.64 and 54.41 is: 81.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.47 : 153.64 = 54.41 : x
  2. Step 2: Convert to fraction form
    102.47/153.64 = 54.41/x
  3. Step 3: Cross multiply
    102.47x = 153.64 × 54.41
  4. Step 4: Simplify right side
    102.47x = 8,359.55
  5. Step 5: Solve for x
    x = 8,359.55/102.47
  6. Step 6: Final answer
    x = 81.58

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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.