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Finding the Fourth Proportional to 64.36, 95.80 and 64.06

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Solution

The fourth proportional to 64.36, 95.80 and 64.06 is: 95.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.36 : 95.80 = 64.06 : x
  2. Step 2: Convert to fraction form
    64.36/95.80 = 64.06/x
  3. Step 3: Cross multiply
    64.36x = 95.80 × 64.06
  4. Step 4: Simplify right side
    64.36x = 6,136.95
  5. Step 5: Solve for x
    x = 6,136.95/64.36
  6. Step 6: Final answer
    x = 95.35

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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.