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Finding the Fourth Proportional to 108.66, 162.85 and 78.16

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Solution

The fourth proportional to 108.66, 162.85 and 78.16 is: 117.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.66 : 162.85 = 78.16 : x
  2. Step 2: Convert to fraction form
    108.66/162.85 = 78.16/x
  3. Step 3: Cross multiply
    108.66x = 162.85 × 78.16
  4. Step 4: Simplify right side
    108.66x = 12,728.36
  5. Step 5: Solve for x
    x = 12,728.36/108.66
  6. Step 6: Final answer
    x = 117.14

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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.