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Finding the Fourth Proportional to 110.70, 152.64 and 83.02

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Solution

The fourth proportional to 110.70, 152.64 and 83.02 is: 114.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.70 : 152.64 = 83.02 : x
  2. Step 2: Convert to fraction form
    110.70/152.64 = 83.02/x
  3. Step 3: Cross multiply
    110.70x = 152.64 × 83.02
  4. Step 4: Simplify right side
    110.70x = 12,672.17
  5. Step 5: Solve for x
    x = 12,672.17/110.70
  6. Step 6: Final answer
    x = 114.47

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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.