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Finding the Fourth Proportional to 102.04, 153.16 and 54

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Solution

The fourth proportional to 102.04, 153.16 and 54 is: 81.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.04 : 153.16 = 54 : x
  2. Step 2: Convert to fraction form
    102.04/153.16 = 54/x
  3. Step 3: Cross multiply
    102.04x = 153.16 × 54
  4. Step 4: Simplify right side
    102.04x = 8,270.64
  5. Step 5: Solve for x
    x = 8,270.64/102.04
  6. Step 6: Final answer
    x = 81.05

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Why These Related Problems?

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