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Finding the Fourth Proportional to 108.14, 161.82 and 64.77

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Solution

The fourth proportional to 108.14, 161.82 and 64.77 is: 96.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.14 : 161.82 = 64.77 : x
  2. Step 2: Convert to fraction form
    108.14/161.82 = 64.77/x
  3. Step 3: Cross multiply
    108.14x = 161.82 × 64.77
  4. Step 4: Simplify right side
    108.14x = 10,482.02
  5. Step 5: Solve for x
    x = 10,482.02/108.14
  6. Step 6: Final answer
    x = 96.93

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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.