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Finding the Fourth Proportional to 64.11, 88.35 and 53.01

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Solution

The fourth proportional to 64.11, 88.35 and 53.01 is: 73.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.11 : 88.35 = 53.01 : x
  2. Step 2: Convert to fraction form
    64.11/88.35 = 53.01/x
  3. Step 3: Cross multiply
    64.11x = 88.35 × 53.01
  4. Step 4: Simplify right side
    64.11x = 4,683.43
  5. Step 5: Solve for x
    x = 4,683.43/64.11
  6. Step 6: Final answer
    x = 73.05

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