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Finding the Fourth Proportional to 155.51, 214.63 and 116.63

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Solution

The fourth proportional to 155.51, 214.63 and 116.63 is: 160.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.51 : 214.63 = 116.63 : x
  2. Step 2: Convert to fraction form
    155.51/214.63 = 116.63/x
  3. Step 3: Cross multiply
    155.51x = 214.63 × 116.63
  4. Step 4: Simplify right side
    155.51x = 25,031.71
  5. Step 5: Solve for x
    x = 25,031.71/155.51
  6. Step 6: Final answer
    x = 160.97

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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.