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Finding the Fourth Proportional to 117.79, 162.50 and 78.49

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Solution

The fourth proportional to 117.79, 162.50 and 78.49 is: 108.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.79 : 162.50 = 78.49 : x
  2. Step 2: Convert to fraction form
    117.79/162.50 = 78.49/x
  3. Step 3: Cross multiply
    117.79x = 162.50 × 78.49
  4. Step 4: Simplify right side
    117.79x = 12,753.83
  5. Step 5: Solve for x
    x = 12,753.83/117.79
  6. Step 6: Final answer
    x = 108.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.