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Finding the Fourth Proportional to 155.63, 233.12 and 100.64

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Solution

The fourth proportional to 155.63, 233.12 and 100.64 is: 150.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.63 : 233.12 = 100.64 : x
  2. Step 2: Convert to fraction form
    155.63/233.12 = 100.64/x
  3. Step 3: Cross multiply
    155.63x = 233.12 × 100.64
  4. Step 4: Simplify right side
    155.63x = 23,460.28
  5. Step 5: Solve for x
    x = 23,460.28/155.63
  6. Step 6: Final answer
    x = 150.75

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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.