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Finding the Fourth Proportional to 102.06, 152.90 and 56.43

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Solution

The fourth proportional to 102.06, 152.90 and 56.43 is: 84.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.06 : 152.90 = 56.43 : x
  2. Step 2: Convert to fraction form
    102.06/152.90 = 56.43/x
  3. Step 3: Cross multiply
    102.06x = 152.90 × 56.43
  4. Step 4: Simplify right side
    102.06x = 8,627.86
  5. Step 5: Solve for x
    x = 8,627.86/102.06
  6. Step 6: Final answer
    x = 84.54

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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.