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Finding the Fourth Proportional to 108.10, 162.17 and 56.77

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Solution

The fourth proportional to 108.10, 162.17 and 56.77 is: 85.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.10 : 162.17 = 56.77 : x
  2. Step 2: Convert to fraction form
    108.10/162.17 = 56.77/x
  3. Step 3: Cross multiply
    108.10x = 162.17 × 56.77
  4. Step 4: Simplify right side
    108.10x = 9,206.39
  5. Step 5: Solve for x
    x = 9,206.39/108.10
  6. Step 6: Final answer
    x = 85.17

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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.