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Finding the Fourth Proportional to 157.34, 235.31 and 88.70

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Solution

The fourth proportional to 157.34, 235.31 and 88.70 is: 132.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.34 : 235.31 = 88.70 : x
  2. Step 2: Convert to fraction form
    157.34/235.31 = 88.70/x
  3. Step 3: Cross multiply
    157.34x = 235.31 × 88.70
  4. Step 4: Simplify right side
    157.34x = 20,870.38
  5. Step 5: Solve for x
    x = 20,870.38/157.34
  6. Step 6: Final answer
    x = 132.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.