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Finding the Fourth Proportional to 65.59, 97.66 and 65.29

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Solution

The fourth proportional to 65.59, 97.66 and 65.29 is: 97.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.59 : 97.66 = 65.29 : x
  2. Step 2: Convert to fraction form
    65.59/97.66 = 65.29/x
  3. Step 3: Cross multiply
    65.59x = 97.66 × 65.29
  4. Step 4: Simplify right side
    65.59x = 6,376.22
  5. Step 5: Solve for x
    x = 6,376.22/65.59
  6. Step 6: Final answer
    x = 97.21

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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.