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Finding the Fourth Proportional to 78.50, 108.28 and 64.55

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Solution

The fourth proportional to 78.50, 108.28 and 64.55 is: 89.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.50 : 108.28 = 64.55 : x
  2. Step 2: Convert to fraction form
    78.50/108.28 = 64.55/x
  3. Step 3: Cross multiply
    78.50x = 108.28 × 64.55
  4. Step 4: Simplify right side
    78.50x = 6,989.47
  5. Step 5: Solve for x
    x = 6,989.47/78.50
  6. Step 6: Final answer
    x = 89.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.