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Finding the Fourth Proportional to 157.89, 236.88 and 61.77

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Solution

The fourth proportional to 157.89, 236.88 and 61.77 is: 92.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.89 : 236.88 = 61.77 : x
  2. Step 2: Convert to fraction form
    157.89/236.88 = 61.77/x
  3. Step 3: Cross multiply
    157.89x = 236.88 × 61.77
  4. Step 4: Simplify right side
    157.89x = 14,632.08
  5. Step 5: Solve for x
    x = 14,632.08/157.89
  6. Step 6: Final answer
    x = 92.67

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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.