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Finding the Fourth Proportional to 102.17, 152.86 and 56.56

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Solution

The fourth proportional to 102.17, 152.86 and 56.56 is: 84.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.17 : 152.86 = 56.56 : x
  2. Step 2: Convert to fraction form
    102.17/152.86 = 56.56/x
  3. Step 3: Cross multiply
    102.17x = 152.86 × 56.56
  4. Step 4: Simplify right side
    102.17x = 8,645.76
  5. Step 5: Solve for x
    x = 8,645.76/102.17
  6. Step 6: Final answer
    x = 84.62

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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.