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Finding the Fourth Proportional to 145.31, 218.00 and 64.16

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Solution

The fourth proportional to 145.31, 218.00 and 64.16 is: 96.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.31 : 218.00 = 64.16 : x
  2. Step 2: Convert to fraction form
    145.31/218.00 = 64.16/x
  3. Step 3: Cross multiply
    145.31x = 218.00 × 64.16
  4. Step 4: Simplify right side
    145.31x = 13,985.47
  5. Step 5: Solve for x
    x = 13,985.47/145.31
  6. Step 6: Final answer
    x = 96.25

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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.