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Finding the Fourth Proportional to 108.07, 161.88 and 56.56

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Solution

The fourth proportional to 108.07, 161.88 and 56.56 is: 84.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.07 : 161.88 = 56.56 : x
  2. Step 2: Convert to fraction form
    108.07/161.88 = 56.56/x
  3. Step 3: Cross multiply
    108.07x = 161.88 × 56.56
  4. Step 4: Simplify right side
    108.07x = 9,155.93
  5. Step 5: Solve for x
    x = 9,155.93/108.07
  6. Step 6: Final answer
    x = 84.72

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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.