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Finding the Fourth Proportional to 117.95, 162.71 and 78.06

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Solution

The fourth proportional to 117.95, 162.71 and 78.06 is: 107.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.95 : 162.71 = 78.06 : x
  2. Step 2: Convert to fraction form
    117.95/162.71 = 78.06/x
  3. Step 3: Cross multiply
    117.95x = 162.71 × 78.06
  4. Step 4: Simplify right side
    117.95x = 12,701.34
  5. Step 5: Solve for x
    x = 12,701.34/117.95
  6. Step 6: Final answer
    x = 107.69

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Why These Related Problems?

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