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Finding the Fourth Proportional to 65.03, 97.14 and 64.49

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Solution

The fourth proportional to 65.03, 97.14 and 64.49 is: 96.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.03 : 97.14 = 64.49 : x
  2. Step 2: Convert to fraction form
    65.03/97.14 = 64.49/x
  3. Step 3: Cross multiply
    65.03x = 97.14 × 64.49
  4. Step 4: Simplify right side
    65.03x = 6,264.24
  5. Step 5: Solve for x
    x = 6,264.24/65.03
  6. Step 6: Final answer
    x = 96.33

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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.