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Finding the Fourth Proportional to 108.18, 162.49 and 64.93

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Solution

The fourth proportional to 108.18, 162.49 and 64.93 is: 97.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.18 : 162.49 = 64.93 : x
  2. Step 2: Convert to fraction form
    108.18/162.49 = 64.93/x
  3. Step 3: Cross multiply
    108.18x = 162.49 × 64.93
  4. Step 4: Simplify right side
    108.18x = 10,550.15
  5. Step 5: Solve for x
    x = 10,550.15/108.18
  6. Step 6: Final answer
    x = 97.53

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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.