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Finding the Fourth Proportional to 116, 174.08 and 78.08

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Solution

The fourth proportional to 116, 174.08 and 78.08 is: 117.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    116 : 174.08 = 78.08 : x
  2. Step 2: Convert to fraction form
    116/174.08 = 78.08/x
  3. Step 3: Cross multiply
    116x = 174.08 × 78.08
  4. Step 4: Simplify right side
    116x = 13,592.17
  5. Step 5: Solve for x
    x = 13,592.17/116
  6. Step 6: Final answer
    x = 117.17

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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.