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Finding the Fourth Proportional to 102.59, 153.14 and 90.44

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Solution

The fourth proportional to 102.59, 153.14 and 90.44 is: 135.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.59 : 153.14 = 90.44 : x
  2. Step 2: Convert to fraction form
    102.59/153.14 = 90.44/x
  3. Step 3: Cross multiply
    102.59x = 153.14 × 90.44
  4. Step 4: Simplify right side
    102.59x = 13,849.53
  5. Step 5: Solve for x
    x = 13,849.53/102.59
  6. Step 6: Final answer
    x = 135.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.