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Finding the Fourth Proportional to 68.64, 102.23 and 64.50

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Solution

The fourth proportional to 68.64, 102.23 and 64.50 is: 96.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.64 : 102.23 = 64.50 : x
  2. Step 2: Convert to fraction form
    68.64/102.23 = 64.50/x
  3. Step 3: Cross multiply
    68.64x = 102.23 × 64.50
  4. Step 4: Simplify right side
    68.64x = 6,593.51
  5. Step 5: Solve for x
    x = 6,593.51/68.64
  6. Step 6: Final answer
    x = 96.06

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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.