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Finding the Fourth Proportional to 64.78, 96.40 and 64.10

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Solution

The fourth proportional to 64.78, 96.40 and 64.10 is: 95.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.78 : 96.40 = 64.10 : x
  2. Step 2: Convert to fraction form
    64.78/96.40 = 64.10/x
  3. Step 3: Cross multiply
    64.78x = 96.40 × 64.10
  4. Step 4: Simplify right side
    64.78x = 6,179.24
  5. Step 5: Solve for x
    x = 6,179.24/64.78
  6. Step 6: Final answer
    x = 95.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.