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Finding the Fourth Proportional to 78.03, 116.93 and 49.05

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Solution

The fourth proportional to 78.03, 116.93 and 49.05 is: 73.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.03 : 116.93 = 49.05 : x
  2. Step 2: Convert to fraction form
    78.03/116.93 = 49.05/x
  3. Step 3: Cross multiply
    78.03x = 116.93 × 49.05
  4. Step 4: Simplify right side
    78.03x = 5,735.17
  5. Step 5: Solve for x
    x = 5,735.17/78.03
  6. Step 6: Final answer
    x = 73.50

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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.