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Finding the Fourth Proportional to 65.22, 97.65 and 53.16

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Solution

The fourth proportional to 65.22, 97.65 and 53.16 is: 79.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.22 : 97.65 = 53.16 : x
  2. Step 2: Convert to fraction form
    65.22/97.65 = 53.16/x
  3. Step 3: Cross multiply
    65.22x = 97.65 × 53.16
  4. Step 4: Simplify right side
    65.22x = 5,191.07
  5. Step 5: Solve for x
    x = 5,191.07/65.22
  6. Step 6: Final answer
    x = 79.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.