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Finding the Fourth Proportional to 116.53, 160.74 and 75.12

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Solution

The fourth proportional to 116.53, 160.74 and 75.12 is: 103.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.53 : 160.74 = 75.12 : x
  2. Step 2: Convert to fraction form
    116.53/160.74 = 75.12/x
  3. Step 3: Cross multiply
    116.53x = 160.74 × 75.12
  4. Step 4: Simplify right side
    116.53x = 12,075.03
  5. Step 5: Solve for x
    x = 12,075.03/116.53
  6. Step 6: Final answer
    x = 103.63

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Why These Related Problems?

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