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Finding the Fourth Proportional to 90.90, 135.99 and 58.40

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Solution

The fourth proportional to 90.90, 135.99 and 58.40 is: 87.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.90 : 135.99 = 58.40 : x
  2. Step 2: Convert to fraction form
    90.90/135.99 = 58.40/x
  3. Step 3: Cross multiply
    90.90x = 135.99 × 58.40
  4. Step 4: Simplify right side
    90.90x = 7,941.14
  5. Step 5: Solve for x
    x = 7,941.14/90.90
  6. Step 6: Final answer
    x = 87.36

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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.