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Finding the Fourth Proportional to 102.48, 153.87 and 64.20

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Solution

The fourth proportional to 102.48, 153.87 and 64.20 is: 96.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.48 : 153.87 = 64.20 : x
  2. Step 2: Convert to fraction form
    102.48/153.87 = 64.20/x
  3. Step 3: Cross multiply
    102.48x = 153.87 × 64.20
  4. Step 4: Simplify right side
    102.48x = 9,878.45
  5. Step 5: Solve for x
    x = 9,878.45/102.48
  6. Step 6: Final answer
    x = 96.40

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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.