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Finding the Fourth Proportional to 78.04, 117.42 and 65.44

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Solution

The fourth proportional to 78.04, 117.42 and 65.44 is: 98.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.04 : 117.42 = 65.44 : x
  2. Step 2: Convert to fraction form
    78.04/117.42 = 65.44/x
  3. Step 3: Cross multiply
    78.04x = 117.42 × 65.44
  4. Step 4: Simplify right side
    78.04x = 7,683.96
  5. Step 5: Solve for x
    x = 7,683.96/78.04
  6. Step 6: Final answer
    x = 98.46

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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.