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Finding the Fourth Proportional to 42.64, 64.45 and 42.64

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Solution

The fourth proportional to 42.64, 64.45 and 42.64 is: 64.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.64 : 64.45 = 42.64 : x
  2. Step 2: Convert to fraction form
    42.64/64.45 = 42.64/x
  3. Step 3: Cross multiply
    42.64x = 64.45 × 42.64
  4. Step 4: Simplify right side
    42.64x = 2,748.15
  5. Step 5: Solve for x
    x = 2,748.15/42.64
  6. Step 6: Final answer
    x = 64.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.