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Finding the Fourth Proportional to 102.51, 153.59 and 83.37

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Solution

The fourth proportional to 102.51, 153.59 and 83.37 is: 124.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.51 : 153.59 = 83.37 : x
  2. Step 2: Convert to fraction form
    102.51/153.59 = 83.37/x
  3. Step 3: Cross multiply
    102.51x = 153.59 × 83.37
  4. Step 4: Simplify right side
    102.51x = 12,804.38
  5. Step 5: Solve for x
    x = 12,804.38/102.51
  6. Step 6: Final answer
    x = 124.91

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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.