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Finding the Fourth Proportional to 64.58, 89.22 and 53.64

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Solution

The fourth proportional to 64.58, 89.22 and 53.64 is: 74.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.58 : 89.22 = 53.64 : x
  2. Step 2: Convert to fraction form
    64.58/89.22 = 53.64/x
  3. Step 3: Cross multiply
    64.58x = 89.22 × 53.64
  4. Step 4: Simplify right side
    64.58x = 4,785.76
  5. Step 5: Solve for x
    x = 4,785.76/64.58
  6. Step 6: Final answer
    x = 74.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.