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Finding the Fourth Proportional to 102.93, 142.26 and 90.90

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Solution

The fourth proportional to 102.93, 142.26 and 90.90 is: 125.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.93 : 142.26 = 90.90 : x
  2. Step 2: Convert to fraction form
    102.93/142.26 = 90.90/x
  3. Step 3: Cross multiply
    102.93x = 142.26 × 90.90
  4. Step 4: Simplify right side
    102.93x = 12,931.43
  5. Step 5: Solve for x
    x = 12,931.43/102.93
  6. Step 6: Final answer
    x = 125.63

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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.