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Finding the Fourth Proportional to 108.44, 162.53 and 78.02

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Solution

The fourth proportional to 108.44, 162.53 and 78.02 is: 116.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.44 : 162.53 = 78.02 : x
  2. Step 2: Convert to fraction form
    108.44/162.53 = 78.02/x
  3. Step 3: Cross multiply
    108.44x = 162.53 × 78.02
  4. Step 4: Simplify right side
    108.44x = 12,679.39
  5. Step 5: Solve for x
    x = 12,679.39/108.44
  6. Step 6: Final answer
    x = 116.93

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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.