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Finding the Fourth Proportional to 102.02, 140.45 and 89.07

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Solution

The fourth proportional to 102.02, 140.45 and 89.07 is: 122.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.02 : 140.45 = 89.07 : x
  2. Step 2: Convert to fraction form
    102.02/140.45 = 89.07/x
  3. Step 3: Cross multiply
    102.02x = 140.45 × 89.07
  4. Step 4: Simplify right side
    102.02x = 12,509.44
  5. Step 5: Solve for x
    x = 12,509.44/102.02
  6. Step 6: Final answer
    x = 122.62

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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.