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Finding the Fourth Proportional to 102.96, 153.69 and 90.81

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Solution

The fourth proportional to 102.96, 153.69 and 90.81 is: 135.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.96 : 153.69 = 90.81 : x
  2. Step 2: Convert to fraction form
    102.96/153.69 = 90.81/x
  3. Step 3: Cross multiply
    102.96x = 153.69 × 90.81
  4. Step 4: Simplify right side
    102.96x = 13,956.59
  5. Step 5: Solve for x
    x = 13,956.59/102.96
  6. Step 6: Final answer
    x = 135.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.