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Finding the Fourth Proportional to 64.16, 97.01 and 64.16

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Solution

The fourth proportional to 64.16, 97.01 and 64.16 is: 97.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.16 : 97.01 = 64.16 : x
  2. Step 2: Convert to fraction form
    64.16/97.01 = 64.16/x
  3. Step 3: Cross multiply
    64.16x = 97.01 × 64.16
  4. Step 4: Simplify right side
    64.16x = 6,224.32
  5. Step 5: Solve for x
    x = 6,224.32/64.16
  6. Step 6: Final answer
    x = 97.01

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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.