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Finding the Fourth Proportional to 102.06, 140.83 and 65.23

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Solution

The fourth proportional to 102.06, 140.83 and 65.23 is: 90.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.06 : 140.83 = 65.23 : x
  2. Step 2: Convert to fraction form
    102.06/140.83 = 65.23/x
  3. Step 3: Cross multiply
    102.06x = 140.83 × 65.23
  4. Step 4: Simplify right side
    102.06x = 9,186.34
  5. Step 5: Solve for x
    x = 9,186.34/102.06
  6. Step 6: Final answer
    x = 90.01

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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.