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Finding the Fourth Proportional to 65.30, 97.19 and 65.10

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Solution

The fourth proportional to 65.30, 97.19 and 65.10 is: 96.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.30 : 97.19 = 65.10 : x
  2. Step 2: Convert to fraction form
    65.30/97.19 = 65.10/x
  3. Step 3: Cross multiply
    65.30x = 97.19 × 65.10
  4. Step 4: Simplify right side
    65.30x = 6,327.07
  5. Step 5: Solve for x
    x = 6,327.07/65.30
  6. Step 6: Final answer
    x = 96.89

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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.