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Finding the Fourth Proportional to 102.08, 152.76 and 90.08

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Solution

The fourth proportional to 102.08, 152.76 and 90.08 is: 134.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.08 : 152.76 = 90.08 : x
  2. Step 2: Convert to fraction form
    102.08/152.76 = 90.08/x
  3. Step 3: Cross multiply
    102.08x = 152.76 × 90.08
  4. Step 4: Simplify right side
    102.08x = 13,760.62
  5. Step 5: Solve for x
    x = 13,760.62/102.08
  6. Step 6: Final answer
    x = 134.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.