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Finding the Fourth Proportional to 157.40, 236.13 and 59.90

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Solution

The fourth proportional to 157.40, 236.13 and 59.90 is: 89.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.40 : 236.13 = 59.90 : x
  2. Step 2: Convert to fraction form
    157.40/236.13 = 59.90/x
  3. Step 3: Cross multiply
    157.40x = 236.13 × 59.90
  4. Step 4: Simplify right side
    157.40x = 14,144.19
  5. Step 5: Solve for x
    x = 14,144.19/157.40
  6. Step 6: Final answer
    x = 89.86

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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.