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Finding the Fourth Proportional to 101.90, 152.47 and 89.65

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Solution

The fourth proportional to 101.90, 152.47 and 89.65 is: 134.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.90 : 152.47 = 89.65 : x
  2. Step 2: Convert to fraction form
    101.90/152.47 = 89.65/x
  3. Step 3: Cross multiply
    101.90x = 152.47 × 89.65
  4. Step 4: Simplify right side
    101.90x = 13,668.49
  5. Step 5: Solve for x
    x = 13,668.49/101.90
  6. Step 6: Final answer
    x = 134.14

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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.