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Finding the Fourth Proportional to 102.01, 152.96 and 36.98

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Solution

The fourth proportional to 102.01, 152.96 and 36.98 is: 55.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.01 : 152.96 = 36.98 : x
  2. Step 2: Convert to fraction form
    102.01/152.96 = 36.98/x
  3. Step 3: Cross multiply
    102.01x = 152.96 × 36.98
  4. Step 4: Simplify right side
    102.01x = 5,656.28
  5. Step 5: Solve for x
    x = 5,656.28/102.01
  6. Step 6: Final answer
    x = 55.45

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