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Finding the Fourth Proportional to 152.86, 229.33 and 71.77

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Solution

The fourth proportional to 152.86, 229.33 and 71.77 is: 107.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.86 : 229.33 = 71.77 : x
  2. Step 2: Convert to fraction form
    152.86/229.33 = 71.77/x
  3. Step 3: Cross multiply
    152.86x = 229.33 × 71.77
  4. Step 4: Simplify right side
    152.86x = 16,457.51
  5. Step 5: Solve for x
    x = 16,457.51/152.86
  6. Step 6: Final answer
    x = 107.67

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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.