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Finding the Fourth Proportional to 64.12, 96.56 and 56.60

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Solution

The fourth proportional to 64.12, 96.56 and 56.60 is: 85.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.12 : 96.56 = 56.60 : x
  2. Step 2: Convert to fraction form
    64.12/96.56 = 56.60/x
  3. Step 3: Cross multiply
    64.12x = 96.56 × 56.60
  4. Step 4: Simplify right side
    64.12x = 5,465.30
  5. Step 5: Solve for x
    x = 5,465.30/64.12
  6. Step 6: Final answer
    x = 85.24

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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.