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Finding the Fourth Proportional to 155.52, 233.05 and 90.52

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Solution

The fourth proportional to 155.52, 233.05 and 90.52 is: 135.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.52 : 233.05 = 90.52 : x
  2. Step 2: Convert to fraction form
    155.52/233.05 = 90.52/x
  3. Step 3: Cross multiply
    155.52x = 233.05 × 90.52
  4. Step 4: Simplify right side
    155.52x = 21,095.69
  5. Step 5: Solve for x
    x = 21,095.69/155.52
  6. Step 6: Final answer
    x = 135.65

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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.