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Finding the Fourth Proportional to 90.58, 135.72 and 55.82

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Solution

The fourth proportional to 90.58, 135.72 and 55.82 is: 83.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.58 : 135.72 = 55.82 : x
  2. Step 2: Convert to fraction form
    90.58/135.72 = 55.82/x
  3. Step 3: Cross multiply
    90.58x = 135.72 × 55.82
  4. Step 4: Simplify right side
    90.58x = 7,575.89
  5. Step 5: Solve for x
    x = 7,575.89/90.58
  6. Step 6: Final answer
    x = 83.64

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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.