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Finding the Fourth Proportional to 155.83, 233.65 and 114.72

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Solution

The fourth proportional to 155.83, 233.65 and 114.72 is: 172.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.83 : 233.65 = 114.72 : x
  2. Step 2: Convert to fraction form
    155.83/233.65 = 114.72/x
  3. Step 3: Cross multiply
    155.83x = 233.65 × 114.72
  4. Step 4: Simplify right side
    155.83x = 26,804.04
  5. Step 5: Solve for x
    x = 26,804.04/155.83
  6. Step 6: Final answer
    x = 172.01

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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.