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Finding the Fourth Proportional to 164, 245.71 and 72.53

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Solution

The fourth proportional to 164, 245.71 and 72.53 is: 108.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    164 : 245.71 = 72.53 : x
  2. Step 2: Convert to fraction form
    164/245.71 = 72.53/x
  3. Step 3: Cross multiply
    164x = 245.71 × 72.53
  4. Step 4: Simplify right side
    164x = 17,821.35
  5. Step 5: Solve for x
    x = 17,821.35/164
  6. Step 6: Final answer
    x = 108.67

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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.