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Finding the Fourth Proportional to 102.96, 142.16 and 90.64

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Solution

The fourth proportional to 102.96, 142.16 and 90.64 is: 125.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.96 : 142.16 = 90.64 : x
  2. Step 2: Convert to fraction form
    102.96/142.16 = 90.64/x
  3. Step 3: Cross multiply
    102.96x = 142.16 × 90.64
  4. Step 4: Simplify right side
    102.96x = 12,885.38
  5. Step 5: Solve for x
    x = 12,885.38/102.96
  6. Step 6: Final answer
    x = 125.15

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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.