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Finding the Fourth Proportional to 102.39, 153.72 and 88.04

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Solution

The fourth proportional to 102.39, 153.72 and 88.04 is: 132.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.39 : 153.72 = 88.04 : x
  2. Step 2: Convert to fraction form
    102.39/153.72 = 88.04/x
  3. Step 3: Cross multiply
    102.39x = 153.72 × 88.04
  4. Step 4: Simplify right side
    102.39x = 13,533.51
  5. Step 5: Solve for x
    x = 13,533.51/102.39
  6. Step 6: Final answer
    x = 132.18

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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.