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Finding the Fourth Proportional to 102.65, 141.62 and 65.83

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Solution

The fourth proportional to 102.65, 141.62 and 65.83 is: 90.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.65 : 141.62 = 65.83 : x
  2. Step 2: Convert to fraction form
    102.65/141.62 = 65.83/x
  3. Step 3: Cross multiply
    102.65x = 141.62 × 65.83
  4. Step 4: Simplify right side
    102.65x = 9,322.43
  5. Step 5: Solve for x
    x = 9,322.43/102.65
  6. Step 6: Final answer
    x = 90.82

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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.