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Finding the Fourth Proportional to 157.36, 235.77 and 70.55

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Solution

The fourth proportional to 157.36, 235.77 and 70.55 is: 105.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.36 : 235.77 = 70.55 : x
  2. Step 2: Convert to fraction form
    157.36/235.77 = 70.55/x
  3. Step 3: Cross multiply
    157.36x = 235.77 × 70.55
  4. Step 4: Simplify right side
    157.36x = 16,633.57
  5. Step 5: Solve for x
    x = 16,633.57/157.36
  6. Step 6: Final answer
    x = 105.70

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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.