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Finding the Fourth Proportional to 78.07, 117.09 and 29.97

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Solution

The fourth proportional to 78.07, 117.09 and 29.97 is: 44.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.07 : 117.09 = 29.97 : x
  2. Step 2: Convert to fraction form
    78.07/117.09 = 29.97/x
  3. Step 3: Cross multiply
    78.07x = 117.09 × 29.97
  4. Step 4: Simplify right side
    78.07x = 3,509.19
  5. Step 5: Solve for x
    x = 3,509.19/78.07
  6. Step 6: Final answer
    x = 44.95

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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.