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Finding the Fourth Proportional to 100.98, 152.28 and 92.34

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Solution

The fourth proportional to 100.98, 152.28 and 92.34 is: 139.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.98 : 152.28 = 92.34 : x
  2. Step 2: Convert to fraction form
    100.98/152.28 = 92.34/x
  3. Step 3: Cross multiply
    100.98x = 152.28 × 92.34
  4. Step 4: Simplify right side
    100.98x = 14,061.54
  5. Step 5: Solve for x
    x = 14,061.54/100.98
  6. Step 6: Final answer
    x = 139.25

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