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Finding the Fourth Proportional to 102.21, 153.14 and 61.53

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Solution

The fourth proportional to 102.21, 153.14 and 61.53 is: 92.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.21 : 153.14 = 61.53 : x
  2. Step 2: Convert to fraction form
    102.21/153.14 = 61.53/x
  3. Step 3: Cross multiply
    102.21x = 153.14 × 61.53
  4. Step 4: Simplify right side
    102.21x = 9,422.40
  5. Step 5: Solve for x
    x = 9,422.40/102.21
  6. Step 6: Final answer
    x = 92.19

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Why These Related Problems?

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