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Finding the Fourth Proportional to 78.34, 107.62 and 64.48

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Solution

The fourth proportional to 78.34, 107.62 and 64.48 is: 88.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.34 : 107.62 = 64.48 : x
  2. Step 2: Convert to fraction form
    78.34/107.62 = 64.48/x
  3. Step 3: Cross multiply
    78.34x = 107.62 × 64.48
  4. Step 4: Simplify right side
    78.34x = 6,939.34
  5. Step 5: Solve for x
    x = 6,939.34/78.34
  6. Step 6: Final answer
    x = 88.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.