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Finding the Fourth Proportional to 112.30, 155.02 and 73.50

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Solution

The fourth proportional to 112.30, 155.02 and 73.50 is: 101.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.30 : 155.02 = 73.50 : x
  2. Step 2: Convert to fraction form
    112.30/155.02 = 73.50/x
  3. Step 3: Cross multiply
    112.30x = 155.02 × 73.50
  4. Step 4: Simplify right side
    112.30x = 11,393.97
  5. Step 5: Solve for x
    x = 11,393.97/112.30
  6. Step 6: Final answer
    x = 101.46

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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.