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Finding the Fourth Proportional to 102.06, 153.10 and 37.04

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Solution

The fourth proportional to 102.06, 153.10 and 37.04 is: 55.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.06 : 153.10 = 37.04 : x
  2. Step 2: Convert to fraction form
    102.06/153.10 = 37.04/x
  3. Step 3: Cross multiply
    102.06x = 153.10 × 37.04
  4. Step 4: Simplify right side
    102.06x = 5,670.82
  5. Step 5: Solve for x
    x = 5,670.82/102.06
  6. Step 6: Final answer
    x = 55.56

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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.