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Finding the Fourth Proportional to 152.90, 229.07 and 91.91

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Solution

The fourth proportional to 152.90, 229.07 and 91.91 is: 137.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.90 : 229.07 = 91.91 : x
  2. Step 2: Convert to fraction form
    152.90/229.07 = 91.91/x
  3. Step 3: Cross multiply
    152.90x = 229.07 × 91.91
  4. Step 4: Simplify right side
    152.90x = 21,054.63
  5. Step 5: Solve for x
    x = 21,054.63/152.90
  6. Step 6: Final answer
    x = 137.70

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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.