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Finding the Fourth Proportional to 64.51, 96.70 and 37.40

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Solution

The fourth proportional to 64.51, 96.70 and 37.40 is: 56.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.51 : 96.70 = 37.40 : x
  2. Step 2: Convert to fraction form
    64.51/96.70 = 37.40/x
  3. Step 3: Cross multiply
    64.51x = 96.70 × 37.40
  4. Step 4: Simplify right side
    64.51x = 3,616.58
  5. Step 5: Solve for x
    x = 3,616.58/64.51
  6. Step 6: Final answer
    x = 56.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.