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Finding the Fourth Proportional to 155.82, 214.74 and 112.08

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Solution

The fourth proportional to 155.82, 214.74 and 112.08 is: 154.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.82 : 214.74 = 112.08 : x
  2. Step 2: Convert to fraction form
    155.82/214.74 = 112.08/x
  3. Step 3: Cross multiply
    155.82x = 214.74 × 112.08
  4. Step 4: Simplify right side
    155.82x = 24,068.06
  5. Step 5: Solve for x
    x = 24,068.06/155.82
  6. Step 6: Final answer
    x = 154.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.