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Finding the Fourth Proportional to 65.09, 89.96 and 52.04

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Solution

The fourth proportional to 65.09, 89.96 and 52.04 is: 71.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.09 : 89.96 = 52.04 : x
  2. Step 2: Convert to fraction form
    65.09/89.96 = 52.04/x
  3. Step 3: Cross multiply
    65.09x = 89.96 × 52.04
  4. Step 4: Simplify right side
    65.09x = 4,681.48
  5. Step 5: Solve for x
    x = 4,681.48/65.09
  6. Step 6: Final answer
    x = 71.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.