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Finding the Fourth Proportional to 104.08, 157 and 100.84

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Solution

The fourth proportional to 104.08, 157 and 100.84 is: 152.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.08 : 157 = 100.84 : x
  2. Step 2: Convert to fraction form
    104.08/157 = 100.84/x
  3. Step 3: Cross multiply
    104.08x = 157 × 100.84
  4. Step 4: Simplify right side
    104.08x = 15,831.88
  5. Step 5: Solve for x
    x = 15,831.88/104.08
  6. Step 6: Final answer
    x = 152.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.