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Finding the Fourth Proportional to 157.40, 235.90 and 88.82

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Solution

The fourth proportional to 157.40, 235.90 and 88.82 is: 133.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.40 : 235.90 = 88.82 : x
  2. Step 2: Convert to fraction form
    157.40/235.90 = 88.82/x
  3. Step 3: Cross multiply
    157.40x = 235.90 × 88.82
  4. Step 4: Simplify right side
    157.40x = 20,952.64
  5. Step 5: Solve for x
    x = 20,952.64/157.40
  6. Step 6: Final answer
    x = 133.12

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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.