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Finding the Fourth Proportional to 102.06, 152.52 and 73.05

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Solution

The fourth proportional to 102.06, 152.52 and 73.05 is: 109.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.06 : 152.52 = 73.05 : x
  2. Step 2: Convert to fraction form
    102.06/152.52 = 73.05/x
  3. Step 3: Cross multiply
    102.06x = 152.52 × 73.05
  4. Step 4: Simplify right side
    102.06x = 11,141.59
  5. Step 5: Solve for x
    x = 11,141.59/102.06
  6. Step 6: Final answer
    x = 109.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.