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Finding the Fourth Proportional to 97.72, 145.72 and 90.88

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Solution

The fourth proportional to 97.72, 145.72 and 90.88 is: 135.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.72 : 145.72 = 90.88 : x
  2. Step 2: Convert to fraction form
    97.72/145.72 = 90.88/x
  3. Step 3: Cross multiply
    97.72x = 145.72 × 90.88
  4. Step 4: Simplify right side
    97.72x = 13,243.03
  5. Step 5: Solve for x
    x = 13,243.03/97.72
  6. Step 6: Final answer
    x = 135.52

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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.