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Finding the Fourth Proportional to 64.53, 97.34 and 64.53

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Solution

The fourth proportional to 64.53, 97.34 and 64.53 is: 97.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.53 : 97.34 = 64.53 : x
  2. Step 2: Convert to fraction form
    64.53/97.34 = 64.53/x
  3. Step 3: Cross multiply
    64.53x = 97.34 × 64.53
  4. Step 4: Simplify right side
    64.53x = 6,281.03
  5. Step 5: Solve for x
    x = 6,281.03/64.53
  6. Step 6: Final answer
    x = 97.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.