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Finding the Fourth Proportional to 64, 87.93 and 53.62

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Solution

The fourth proportional to 64, 87.93 and 53.62 is: 73.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    64 : 87.93 = 53.62 : x
  2. Step 2: Convert to fraction form
    64/87.93 = 53.62/x
  3. Step 3: Cross multiply
    64x = 87.93 × 53.62
  4. Step 4: Simplify right side
    64x = 4,714.81
  5. Step 5: Solve for x
    x = 4,714.81/64
  6. Step 6: Final answer
    x = 73.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.