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Finding the Fourth Proportional to 102.04, 152.98 and 66.18

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Solution

The fourth proportional to 102.04, 152.98 and 66.18 is: 99.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.04 : 152.98 = 66.18 : x
  2. Step 2: Convert to fraction form
    102.04/152.98 = 66.18/x
  3. Step 3: Cross multiply
    102.04x = 152.98 × 66.18
  4. Step 4: Simplify right side
    102.04x = 10,124.22
  5. Step 5: Solve for x
    x = 10,124.22/102.04
  6. Step 6: Final answer
    x = 99.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.