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Finding the Fourth Proportional to 109.70, 155.51 and 109.70

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Solution

The fourth proportional to 109.70, 155.51 and 109.70 is: 155.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.70 : 155.51 = 109.70 : x
  2. Step 2: Convert to fraction form
    109.70/155.51 = 109.70/x
  3. Step 3: Cross multiply
    109.70x = 155.51 × 109.70
  4. Step 4: Simplify right side
    109.70x = 17,059.45
  5. Step 5: Solve for x
    x = 17,059.45/109.70
  6. Step 6: Final answer
    x = 155.51

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.