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Finding the Fourth Proportional to 64.18, 96.40 and 56.14

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Solution

The fourth proportional to 64.18, 96.40 and 56.14 is: 84.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.18 : 96.40 = 56.14 : x
  2. Step 2: Convert to fraction form
    64.18/96.40 = 56.14/x
  3. Step 3: Cross multiply
    64.18x = 96.40 × 56.14
  4. Step 4: Simplify right side
    64.18x = 5,411.90
  5. Step 5: Solve for x
    x = 5,411.90/64.18
  6. Step 6: Final answer
    x = 84.32

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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.