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Finding the Fourth Proportional to 65.51, 97.84 and 53.33

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Solution

The fourth proportional to 65.51, 97.84 and 53.33 is: 79.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.51 : 97.84 = 53.33 : x
  2. Step 2: Convert to fraction form
    65.51/97.84 = 53.33/x
  3. Step 3: Cross multiply
    65.51x = 97.84 × 53.33
  4. Step 4: Simplify right side
    65.51x = 5,217.38
  5. Step 5: Solve for x
    x = 5,217.38/65.51
  6. Step 6: Final answer
    x = 79.64

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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.