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Finding the Fourth Proportional to 102.15, 153.34 and 56.54

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Solution

The fourth proportional to 102.15, 153.34 and 56.54 is: 84.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.15 : 153.34 = 56.54 : x
  2. Step 2: Convert to fraction form
    102.15/153.34 = 56.54/x
  3. Step 3: Cross multiply
    102.15x = 153.34 × 56.54
  4. Step 4: Simplify right side
    102.15x = 8,670.09
  5. Step 5: Solve for x
    x = 8,670.09/102.15
  6. Step 6: Final answer
    x = 84.88

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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.